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href=\"/wiki/%D0%92%D0%B8%D0%BA%D0%B8%D0%BF%D0%B5%D0%B4%D0%B8%D1%98%D0%B0:%D0%A2%D0%B0%D0%BA%D0%BC%D0%B8%D1%87%D0%B5%D1%9A%D0%B5_%D1%83_%D0%BF%D0%B8%D1%81%D0%B0%D1%9A%D1%83_%D1%87%D0%BB%D0%B0%D0%BD%D0%B0%D0%BA%D0%B0/%D0%A3_%D1%81%D0%B2%D0%B5%D1%82%D1%83_%D0%A4%D0%BB%D0%BE%D1%80%D0%B5_%D0%B8_%D0%A4%D0%B0%D1%83%D0%BD%D0%B5\" title=\"Википедија:Такмичење у писању чланака/У свету Флоре и Фауне\"\u003EФлоре и фауне\u003C/a\u003E\u003C/b\u003E.\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\n\u003Cdiv class=\"noticebanner\"\u003E\u003Cdiv class=\"plainlinks\" style=\"background-color: #FBEBEA; border-radius:5px; margin-top:10px; position:relative; border: 1px solid #aaa; font-family: \u0026#39;Helvetica\u0026#39;, \u0026#39;Arial\u0026#39;, sans-serif; line-height: 18px; box-shadow: 0 1px 1px rgba( 0, 0, 0, 0.15 ); overflow:hidden;\"\u003E\u003Cdiv style=\"display:block; top:4px; width:100%; text-align:center;;\"\u003E\u003Cdiv style=\"color:#000085; 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значајних жена\u003C/a\u003E\u003C/b\u003E на Викицитату.\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\n\u003Cdiv class=\"noticebanner\"\u003E\u003Cdiv class=\"plainlinks\" style=\"background-color: #FBEBEA; border-radius:5px; margin-top:10px; position:relative; border: 1px solid #aaa; font-family: \u0026#39;Helvetica\u0026#39;, \u0026#39;Arial\u0026#39;, sans-serif; line-height: 18px; box-shadow: 0 1px 1px rgba( 0, 0, 0, 0.15 ); overflow:hidden;\"\u003E\u003Cdiv style=\"display:block; top:4px; width:100%; text-align:center;;\"\u003E\u003Cdiv style=\"color:#000085; font-size:25px; line-height:25px\"\u003E\u003Cdiv style=\"padding-left:50px;\"\u003E\u003C/div\u003E\u003C/div\u003E\u003Cdiv style=\"padding-top:2px; color:#444; font-size:1.15em; line-height:1.5;\"\u003E\u003Cdiv style=\"padding-left:8px; padding-right:8px;\"\u003EПридружите се \u003Cb\u003E\u003Ca href=\"/wiki/%D0%92%D0%B8%D0%BA%D0%B8%D0%BF%D0%B5%D0%B4%D0%B8%D1%98%D0%B0:%D0%90%D0%BA%D1%86%D0%B8%D1%98%D0%B0_%D0%BF%D1%80%D0%BE%D1%88%D0%B8%D1%80%D0%B8%D0%B2%D0%B0%D1%9A%D0%B0_%D0%BA%D0%BB%D0%B8%D1%86%D0%B0\" title=\"Википедија:Акција проширивања клица\"\u003Eакцији проширивања клица\u003C/a\u003E\u003C/b\u003E.\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E";}}());</script></div> </div> <div class="vector-column-start"> <div class="vector-main-menu-container"> <div id="mw-navigation"> <nav id="mw-panel" class="vector-main-menu-landmark" aria-label="Сајт"> <div id="vector-main-menu-pinned-container" class="vector-pinned-container"> </div> </nav> </div> </div> <div class="vector-sticky-pinned-container"> <nav id="mw-panel-toc" aria-label="Садржај" data-event-name="ui.sidebar-toc" class="mw-table-of-contents-container vector-toc-landmark"> <div id="vector-toc-pinned-container" class="vector-pinned-container"> <div id="vector-toc" class="vector-toc vector-pinnable-element"> <div class="vector-pinnable-header vector-toc-pinnable-header vector-pinnable-header-pinned" data-feature-name="toc-pinned" data-pinnable-element-id="vector-toc" > <h2 class="vector-pinnable-header-label">Садржај</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">помери на страну</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">сакриј</button> </div> <ul class="vector-toc-contents" id="mw-panel-toc-list"> <li id="toc-mw-content-text" class="vector-toc-list-item vector-toc-level-1"> <a href="#" class="vector-toc-link"> <div class="vector-toc-text">Почетак</div> </a> </li> <li id="toc-Grane_teorije_reprezentacije_grupa" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Grane_teorije_reprezentacije_grupa"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Grane teorije reprezentacije grupa</span> </div> </a> <ul id="toc-Grane_teorije_reprezentacije_grupa-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Reference" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Reference"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Reference</span> </div> </a> <ul id="toc-Reference-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Literatura" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Literatura"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Literatura</span> </div> </a> <ul id="toc-Literatura-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Spojašnje_veze" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Spojašnje_veze"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Spojašnje veze</span> </div> </a> <ul id="toc-Spojašnje_veze-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="Садржај" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Прикажи/сакриј садржај" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">Прикажи/сакриј садржај</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">Reprezentacija grupa</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="Чланак на другим језицима. Доступан на: 29" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-29" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">29 језика</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%AA%D9%85%D8%AB%D9%8A%D9%84_%D8%B2%D9%85%D8%B1%D8%A9" title="تمثيل زمرة — арапски" lang="ar" hreflang="ar" data-title="تمثيل زمرة" data-language-autonym="العربية" data-language-local-name="арапски" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/Representaci%C3%B3n_de_grupu" title="Representación de grupu — астуријски" lang="ast" hreflang="ast" data-title="Representación de grupu" data-language-autonym="Asturianu" data-language-local-name="астуријски" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-ba mw-list-item"><a href="https://ba.wikipedia.org/wiki/%D0%A2%D3%A9%D1%80%D0%BA%D3%A9%D0%BC_%D0%BA%D2%AF%D1%80%D2%BB%D3%99%D1%82%D0%BC%D3%99%D2%BB%D0%B5" title="Төркөм күрһәтмәһе — башкирски" lang="ba" hreflang="ba" data-title="Төркөм күрһәтмәһе" data-language-autonym="Башҡортса" data-language-local-name="башкирски" class="interlanguage-link-target"><span>Башҡортса</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Representaci%C3%B3_de_grup" title="Representació de grup — каталонски" lang="ca" hreflang="ca" data-title="Representació de grup" data-language-autonym="Català" data-language-local-name="каталонски" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Reprezentace_(grupa)" title="Reprezentace (grupa) — чешки" lang="cs" hreflang="cs" data-title="Reprezentace (grupa)" data-language-autonym="Čeština" data-language-local-name="чешки" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Darstellung_(Gruppe)" title="Darstellung (Gruppe) — немачки" lang="de" hreflang="de" data-title="Darstellung (Gruppe)" data-language-autonym="Deutsch" data-language-local-name="немачки" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Group_representation" title="Group representation — енглески" lang="en" hreflang="en" data-title="Group representation" data-language-autonym="English" data-language-local-name="енглески" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Representaci%C3%B3n_de_grupo" title="Representación de grupo — шпански" lang="es" hreflang="es" data-title="Representación de grupo" data-language-autonym="Español" data-language-local-name="шпански" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Grupa_prezento" title="Grupa prezento — есперанто" lang="eo" hreflang="eo" data-title="Grupa prezento" data-language-autonym="Esperanto" data-language-local-name="есперанто" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Taldeen_errepresentazio" title="Taldeen errepresentazio — баскијски" lang="eu" hreflang="eu" data-title="Taldeen errepresentazio" data-language-autonym="Euskara" data-language-local-name="баскијски" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D9%86%D9%85%D8%A7%DB%8C%D8%B4_%DA%AF%D8%B1%D9%88%D9%87" title="نمایش گروه — персијски" lang="fa" hreflang="fa" data-title="نمایش گروه" data-language-autonym="فارسی" data-language-local-name="персијски" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Repr%C3%A9sentation_de_groupe" title="Représentation de groupe — француски" lang="fr" hreflang="fr" data-title="Représentation de groupe" data-language-autonym="Français" data-language-local-name="француски" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Representaci%C3%B3n_de_grupo" title="Representación de grupo — галицијски" lang="gl" hreflang="gl" data-title="Representación de grupo" data-language-autonym="Galego" data-language-local-name="галицијски" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%94%D7%A6%D7%92%D7%94_%D7%9C%D7%99%D7%A0%D7%99%D7%90%D7%A8%D7%99%D7%AA" title="הצגה ליניארית — хебрејски" lang="he" hreflang="he" data-title="הצגה ליניארית" data-language-autonym="עברית" data-language-local-name="хебрејски" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Rappresentazione_dei_gruppi" title="Rappresentazione dei gruppi — италијански" lang="it" hreflang="it" data-title="Rappresentazione dei gruppi" data-language-autonym="Italiano" data-language-local-name="италијански" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E7%BE%A4%E3%81%AE%E8%A1%A8%E7%8F%BE" title="群の表現 — јапански" lang="ja" hreflang="ja" data-title="群の表現" data-language-autonym="日本語" data-language-local-name="јапански" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%AF%E1%83%92%E1%83%A3%E1%83%A4%E1%83%97%E1%83%90_%E1%83%AC%E1%83%90%E1%83%A0%E1%83%9B%E1%83%9D%E1%83%93%E1%83%92%E1%83%94%E1%83%9C%E1%83%98%E1%83%A1_%E1%83%97%E1%83%94%E1%83%9D%E1%83%A0%E1%83%98%E1%83%90" title="ჯგუფთა წარმოდგენის თეორია — грузијски" lang="ka" hreflang="ka" data-title="ჯგუფთა წარმოდგენის თეორია" data-language-autonym="ქართული" data-language-local-name="грузијски" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EA%B5%B0%EC%9D%98_%ED%91%9C%ED%98%84" title="군의 표현 — корејски" lang="ko" hreflang="ko" data-title="군의 표현" data-language-autonym="한국어" data-language-local-name="корејски" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Groepsrepresentatie" title="Groepsrepresentatie — холандски" lang="nl" hreflang="nl" data-title="Groepsrepresentatie" data-language-autonym="Nederlands" data-language-local-name="холандски" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Reprezentacja_grupy" title="Reprezentacja grupy — пољски" lang="pl" hreflang="pl" data-title="Reprezentacja grupy" data-language-autonym="Polski" data-language-local-name="пољски" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Representa%C3%A7%C3%A3o_de_grupo" title="Representação de grupo — португалски" lang="pt" hreflang="pt" data-title="Representação de grupo" data-language-autonym="Português" data-language-local-name="португалски" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Reprezentare_de_grup" title="Reprezentare de grup — румунски" lang="ro" hreflang="ro" data-title="Reprezentare de grup" data-language-autonym="Română" data-language-local-name="румунски" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%9F%D1%80%D0%B5%D0%B4%D1%81%D1%82%D0%B0%D0%B2%D0%BB%D0%B5%D0%BD%D0%B8%D0%B5_%D0%B3%D1%80%D1%83%D0%BF%D0%BF%D1%8B" title="Представление группы — руски" lang="ru" hreflang="ru" data-title="Представление группы" data-language-autonym="Русский" data-language-local-name="руски" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Ryhm%C3%A4n_esitys" title="Ryhmän esitys — фински" lang="fi" hreflang="fi" data-title="Ryhmän esitys" data-language-autonym="Suomi" data-language-local-name="фински" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/Bi%E1%BB%83u_di%E1%BB%85n_nh%C3%B3m" title="Biểu diễn nhóm — вијетнамски" lang="vi" hreflang="vi" data-title="Biểu diễn nhóm" data-language-autonym="Tiếng Việt" data-language-local-name="вијетнамски" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Grup_temsili" title="Grup temsili — турски" lang="tr" hreflang="tr" data-title="Grup temsili" data-language-autonym="Türkçe" data-language-local-name="турски" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%9F%D1%80%D0%B5%D0%B4%D1%81%D1%82%D0%B0%D0%B2%D0%BB%D0%B5%D0%BD%D0%BD%D1%8F_%D0%B3%D1%80%D1%83%D0%BF%D0%B8" title="Представлення групи — украјински" lang="uk" hreflang="uk" data-title="Представлення групи" data-language-autonym="Українська" data-language-local-name="украјински" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E7%BE%A4%E8%A1%A8%E7%A4%BA%E8%AB%96" title="群表示論 — кинески" lang="zh" hreflang="zh" data-title="群表示論" data-language-autonym="中文" data-language-local-name="кинески" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E7%BE%A3%E8%A1%A8%E7%A4%BA%E7%90%86%E8%AB%96" title="羣表示理論 — кантонски" lang="yue" hreflang="yue" data-title="羣表示理論" data-language-autonym="粵語" data-language-local-name="кантонски" class="interlanguage-link-target"><span>粵語</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q1055807#sitelinks-wikipedia" title="Уреди међујезичке везе" class="wbc-editpage">Уреди везе</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="Именски простори"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-nstab-main" class="selected vector-tab-noicon mw-list-item"><a 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dir="ltr"><figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/%D0%94%D0%B0%D1%82%D0%BE%D1%82%D0%B5%D0%BA%D0%B0:Hexagon_Reflections.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/09/Hexagon_Reflections.png/300px-Hexagon_Reflections.png" decoding="async" width="300" height="300" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/0/09/Hexagon_Reflections.png 1.5x" data-file-width="348" data-file-height="348" /></a><figcaption>Reprezentacija <a href="/wiki/%D0%93%D1%80%D1%83%D0%BF%D0%B0_(%D0%BC%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0)" title="Група (математика)">grupa</a> „deluje” kao objekat. Najjednostavniji primeri su kako <a href="/w/index.php?title=Dihedral_group&action=edit&redlink=1" class="new" title="Dihedral group (страница не постоји)">simetrije regularnih poligona</a>, koji se sastoje od reflekcija i rotacija, transformišu poligon.</figcaption></figure> <p>U <a href="/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0" title="Математика">matematičkom</a> polju <a href="/wiki/Teorija_reprezentacije" title="Teorija reprezentacije">teorije reprezentacije</a>, <b>reprezentacija grupa</b> opisuje apstraktne <a href="/wiki/%D0%93%D1%80%D1%83%D0%BF%D0%B0_(%D0%BC%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0)" title="Група (математика)">grupe</a> u smislu <a href="/wiki/%D0%91%D0%B8%D1%98%D0%B5%D0%BA%D1%86%D0%B8%D1%98%D0%B0" title="Бијекција">bijektivnih</a> <a href="/wiki/%D0%9B%D0%B8%D0%BD%D0%B5%D0%B0%D1%80%D0%BD%D0%BE_%D0%BF%D1%80%D0%B5%D1%81%D0%BB%D0%B8%D0%BA%D0%B0%D0%B2%D0%B0%D1%9A%D0%B5" title="Линеарно пресликавање">linearnih transformacija</a><sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> (i.e. <a href="/wiki/%D0%90%D1%83%D1%82%D0%BE%D0%BC%D0%BE%D1%80%D1%84%D0%B8%D0%B7%D0%B0%D0%BC" title="Аутоморфизам">automorfizmi</a><sup id="cite_ref-Pahl_2-0" class="reference"><a href="#cite_note-Pahl-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-4" class="reference"><a href="#cite_note-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup>) <a href="/wiki/%D0%92%D0%B5%D0%BA%D1%82%D0%BE%D1%80%D1%81%D0%BA%D0%B8_%D0%BF%D1%80%D0%BE%D1%81%D1%82%D0%BE%D1%80" title="Векторски простор">vektoriskih prostora</a>; specifično, one se mogu koristiti za predstavljanje elementata grupa kao <a href="/wiki/%D0%98%D0%BD%D0%B2%D0%B5%D1%80%D1%82%D0%B8%D0%B1%D0%B8%D0%BB%D0%BD%D0%B0_%D0%BC%D0%B0%D1%82%D1%80%D0%B8%D1%86%D0%B0" title="Инвертибилна матрица">invertabilnih matrica</a> tako da se grupne operacije mogu predstaviti putem <a href="/w/index.php?title=Matrix_multiplication&action=edit&redlink=1" class="new" title="Matrix multiplication (страница не постоји)">množenja matrica</a>. Reprezentacije grupa su važne zato što one omogućavaju da se mnogi <a href="/wiki/%D0%A2%D0%B5%D0%BE%D1%80%D0%B8%D1%98%D0%B0_%D0%B3%D1%80%D1%83%D0%BF%D0%B0" title="Теорија група">grupno-teoretski</a> problemi <a href="/w/index.php?title=Reduction_(mathematics)&action=edit&redlink=1" class="new" title="Reduction (mathematics) (страница не постоји)">redukuju</a> do problema <a href="/wiki/%D0%9B%D0%B8%D0%BD%D0%B5%D0%B0%D1%80%D0%BD%D0%B0_%D0%B0%D0%BB%D0%B3%D0%B5%D0%B1%D1%80%D0%B0" title="Линеарна алгебра">linearne algebre</a>,<sup id="cite_ref-5" class="reference"><a href="#cite_note-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-6" class="reference"><a href="#cite_note-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup> koji su dobro izučeni. Reprezentacije grupa su isto tako važne u <a href="/wiki/%D0%A4%D0%B8%D0%B7%D0%B8%D0%BA%D0%B0" title="Физика">fizici</a> zato što, na primer, one opisuju kako <a href="/w/index.php?title=Symmetry_group&action=edit&redlink=1" class="new" title="Symmetry group (страница не постоји)">grupe simetrije</a> fizičkog sistema utiču na rešenja jednačina koje opisuju taj sistem.<sup id="cite_ref-7" class="reference"><a href="#cite_note-7"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup> </p><p>Termin <i>reprezentacija grupa</i> se takođe koristi u generalnijem smislu za označavanje svakog „opisa” grupe kao grupe transformacija nekog matematičkog objekta. Formalnije, „reprezentacija” znači <a href="/wiki/%D0%A5%D0%BE%D0%BC%D0%BE%D0%BC%D0%BE%D1%80%D1%84%D0%B8%D0%B7%D0%B0%D0%BC" title="Хомоморфизам">homomorfizam</a> od grupe do <a href="/w/index.php?title=Automorphism_group&action=edit&redlink=1" class="new" title="Automorphism group (страница не постоји)">automorfizma grupe</a> objekta. Ako je objekat vektorski prostor radi se o <i>linearnoj reprezentaciji</i>. Neki autori koriste termin <i>realizacija</i> kao generalniji pojam i rezervišu termin <i>reprezentacija</i> za specifičnijih slučaj linearne reprezentacije. Ovaj članak prevashodno opisuje teoriju linearne reprezentacije. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Grane_teorije_reprezentacije_grupa">Grane teorije reprezentacije grupa</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Reprezentacija_grupa&veaction=edit&section=1" title="Уредите одељак „Grane teorije reprezentacije grupa”" class="mw-editsection-visualeditor"><span>уреди</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Reprezentacija_grupa&action=edit&section=1" title="Уреди извор одељка: Grane teorije reprezentacije grupa"><span>уреди извор</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Teorija reprezentacije grupa se deli u potpolja u zavisnosti od vrste grupa koje se predstavljaju. Različite teorije se u znatnoj meri razlikuju u pogledu detalja, mada su neke osnovne definicije i koncepti slični. Najvažnije podele su: </p> <ul><li><i><a href="/w/index.php?title=Finite_group&action=edit&redlink=1" class="new" title="Finite group (страница не постоји)">Konačne grupe</a></i> - Reprezentacija grupa je vrlo važno sredstvo u proučavanju konačnih grupa. One se takođe pojavljuju u primeni teorije konačnih grupa na <a href="/wiki/%D0%9A%D1%80%D0%B8%D1%81%D1%82%D0%B0%D0%BB%D0%BE%D0%B3%D1%80%D0%B0%D1%84%D0%B8%D1%98%D0%B0" title="Кристалографија">kristalografiju</a> i geometriju. Ako <a href="/wiki/%D0%9F%D0%BE%D1%99%D0%B5_(%D0%BC%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0)" title="Поље (математика)">polje</a> skalara vektorskog prostora ima <a href="/w/index.php?title=Characteristic_(algebra)&action=edit&redlink=1" class="new" title="Characteristic (algebra) (страница не постоји)">karakteristično</a> <i>p</i>, i ako <i>p</i> deli redosled grupe, onda se to naziva <i><a href="/w/index.php?title=Modular_representation_theory&action=edit&redlink=1" class="new" title="Modular representation theory (страница не постоји)">teorijom modularne reprezentacije</a></i>; ovaj poseban slučaj ima veoma različita svojstva. Pogledajte <a href="/w/index.php?title=Representation_theory_of_finite_groups&action=edit&redlink=1" class="new" title="Representation theory of finite groups (страница не постоји)">Teoriju reprezentacije konačnih grupa</a>.</li> <li><i><a href="/w/index.php?title=Compact_group&action=edit&redlink=1" class="new" title="Compact group (страница не постоји)">Kompaktne grupe</a> ili <a href="/w/index.php?title=Locally_compact_group&action=edit&redlink=1" class="new" title="Locally compact group (страница не постоји)">lokalno kompaktne grupe</a></i> — Mnogi rezultati teorije zastupljenosti konačnih grupa su dokazani uzimanjem proseka po grupama. Ovi dokazi se mogu preneti u beskonačne grupe zamenom proseka sa integralom, pod uslovom da se može definisati prihvatljiv pojam integrala. To se može uraditi za lokalno kompaktne grupe, koristeći <a href="/wiki/%D0%A5%D0%B0%D1%80%D0%BE%D0%B2%D0%B0_%D0%BC%D0%B5%D1%80%D0%B0" title="Харова мера">Harovu meru</a>. Rezultirajuća teorija predstavlja centralni deo <a href="/wiki/Harmonijska_analiza" title="Harmonijska analiza">harmonijske analize</a>. <a href="/wiki/%D0%94%D1%83%D0%B0%D0%BB%D0%BD%D0%BE%D1%81%D1%82_%D0%BF%D0%BE_%D0%9F%D0%BE%D0%BD%D1%82%D1%80%D1%98%D0%B0%D0%B3%D0%B8%D0%BD%D1%83" title="Дуалност по Понтрјагину">Dualnost po Pontrjaginu</a> opisuje teoriju za komutativne grupe, kao generalizovanu <a href="/wiki/%D0%A4%D1%83%D1%80%D0%B8%D1%98%D0%B5%D0%BE%D0%B2%D0%B0_%D1%82%D1%80%D0%B0%D0%BD%D1%81%D1%84%D0%BE%D1%80%D0%BC%D0%B0%D1%86%D0%B8%D1%98%D0%B0" title="Фуријеова трансформација">Furijeovu transformaciju</a>. Takođe pogledajte: <a href="/w/index.php?title=Peter%E2%80%93Weyl_theorem&action=edit&redlink=1" class="new" title="Peter–Weyl theorem (страница не постоји)">Piter-Vejlovu teoremu</a>.</li> <li><i><a href="/wiki/%D0%9B%D0%B8%D1%98%D0%B5%D0%B2%D0%B0_%D0%B3%D1%80%D1%83%D0%BF%D0%B0" title="Лијева група">Lijeve grupe</a></i> — Mnoge važne Lijeve grupe su kompaktne, te se rezultati teorije kompaktne reprezentacije odnose na njih. Koriste se i druge tehnike specifične za Lijeve grupe. Većina grupa koje su važne za fiziku i hemiju su Lijeve grupe, i njihova teorija reprezentacije je presudna za primenu teorije grupa u tim oblastima. Pogledajte <a href="/w/index.php?title=Representations_of_Lie_groups&action=edit&redlink=1" class="new" title="Representations of Lie groups (страница не постоји)">reprezentacije Lijevih grupa</a> i <a href="/w/index.php?title=Representations_of_Lie_algebras&action=edit&redlink=1" class="new" title="Representations of Lie algebras (страница не постоји)">reprezentacije Lijevih algebri</a>.</li> <li><i><a href="/w/index.php?title=Linear_algebraic_group&action=edit&redlink=1" class="new" title="Linear algebraic group (страница не постоји)">Linearne algebarske grupe</a></i> (ili generalnije <i>afine <a href="/w/index.php?title=Group_scheme&action=edit&redlink=1" class="new" title="Group scheme (страница не постоји)">šeme grupa</a></i>) — Ovo su analozi Lijevih grupa, ali na opštijim poljima, a ne samo <b>R</b> ili <i><b>C</b></i>. Iako linearne algebarske grupe imaju klasifikaciju koja je veoma slična onoj kod Lijevih grupa, i proizvode iste familjije Lijeve algebre, njihove reprezentacije su znatno različite (i daleko manjoj meri izučene). Analitičke tehnike koje se koriste za proučavanje Lijevih grupa moraju biti zamenjene tehnikama iz <a href="/wiki/Algebarska_geometrija" title="Algebarska geometrija">algebarske geometrije</a>, gde relativno slaba <a href="/w/index.php?title=Zariski_topology&action=edit&redlink=1" class="new" title="Zariski topology (страница не постоји)">Zariskova topologija</a> izaziva mnoge tehničke komplikacije.</li> <li><i>Nekompaktne topološke grupe</i> — Klasa nekompaktnih grupa je suviše široka da bi se konstruisala bilo kakva opšta teorija reprezentacije, ali su proučavani specijalni slučajevi, ponekad koristeći <a href="/wiki/Ad_hoc" title="Ad hoc">ad hoc</a> tehnike. <i>Polujednostavne Lijeve grupe</i> imaju duboku teoriju, koja se nadograđuje na kompaktni slučaj. Komplementarne <i>rastvorljive</i> Lijeve grupe se ne mogu klasifikovati na isti način. Opšta teorija za Lijeve grupe bavi se <a href="/w/index.php?title=Semidirect_product&action=edit&redlink=1" class="new" title="Semidirect product (страница не постоји)">semiusmerenim proizvodima</a> ova dva tipa, pomoću opštih rezultata zvanih <a href="/w/index.php?title=System_of_imprimitivity&action=edit&redlink=1" class="new" title="System of imprimitivity (страница не постоји)">Makijeva teorija</a>, što je uopštavanje <a href="/w/index.php?title=Wigner%27s_classification&action=edit&redlink=1" class="new" title="Wigner's classification (страница не постоји)">Vignerovih klasifikacionih</a> metoda.</li></ul> <p>Teorija reprezentacije je takođe veoma zavisna od tipa <a href="/wiki/%D0%92%D0%B5%D0%BA%D1%82%D0%BE%D1%80%D1%81%D0%BA%D0%B8_%D0%BF%D1%80%D0%BE%D1%81%D1%82%D0%BE%D1%80" title="Векторски простор">vektorskog prostora</a> na kome grupa deluje. Razlikuju se konačno-dimenzionalne reprezentacije i beskonačno-dimenzionalne. U beskonačno-dimenzionalnom slučaju važne su dodatne strukture (npr. da li je prostor <a href="/wiki/%D0%A5%D0%B8%D0%BB%D0%B1%D0%B5%D1%80%D1%82%D0%BE%D0%B2_%D0%BF%D1%80%D0%BE%D1%81%D1%82%D0%BE%D1%80" title="Хилбертов простор">Hilbertov prostor</a>, <a href="/w/index.php?title=Banach_space&action=edit&redlink=1" class="new" title="Banach space (страница не постоји)">Banahov prostor</a> itd.). </p> <div class="mw-heading mw-heading2"><h2 id="Reference">Reference</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Reprezentacija_grupa&veaction=edit&section=2" title="Уредите одељак „Reference”" class="mw-editsection-visualeditor"><span>уреди</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Reprezentacija_grupa&action=edit&section=2" title="Уреди извор одељка: Reference"><span>уреди извор</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r28440201">.mw-parser-output .reflist{margin-bottom:0.5em;list-style-type:decimal}@media screen{.mw-parser-output .reflist{font-size:90%}}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist"> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><b><a href="#cite_ref-1">^</a></b></span> <span class="reference-text"><cite class="citation book"><a href="/w/index.php?title=Yitzhak_Katznelson&action=edit&redlink=1" class="new" title="Yitzhak Katznelson (страница не постоји)">Katznelson, Yitzhak</a>; Katznelson, Yonatan R. (2008). <a rel="nofollow" class="external text" href="https://archive.org/details/terseintroductio0000katz"><i>A (Terse) Introduction to Linear Algebra</i></a>. <a href="/w/index.php?title=American_Mathematical_Society&action=edit&redlink=1" class="new" title="American Mathematical Society (страница не постоји)">American Mathematical Society</a>. <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/978-0-8218-4419-9" title="Посебно:Штампани извори/978-0-8218-4419-9">978-0-8218-4419-9</a>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3AReprezentacija+grupa&rft.au=Katznelson%2C+Yonatan+R.&rft.aufirst=Yitzhak&rft.aulast=Katznelson&rft.btitle=A+%28Terse%29+Introduction+to+Linear+Algebra&rft.date=2008&rft.genre=book&rft.isbn=978-0-8218-4419-9&rft.pub=American+Mathematical+Society&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fterseintroductio0000katz&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></span> </li> <li id="cite_note-Pahl-2"><span class="mw-cite-backlink"><b><a href="#cite_ref-Pahl_2-0">^</a></b></span> <span class="reference-text"><cite class="citation book">PJ Pahl, R Damrath (2001). <a rel="nofollow" class="external text" href="https://books.google.com/books?id=kvoaoWOfqd8C&pg=PA376">„§7.5.5 Automorphisms”</a>. <i>Mathematical foundations of computational engineering</i> (Felix Pahl translation изд.). Springer. стр. 376. <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/3-540-67995-2" title="Посебно:Штампани извори/3-540-67995-2">3-540-67995-2</a>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3AReprezentacija+grupa&rft.atitle=%C2%A77.5.5+Automorphisms&rft.au=PJ+Pahl%2C+R+Damrath&rft.btitle=Mathematical+foundations+of+computational+engineering&rft.date=2001&rft.edition=Felix+Pahl+translation&rft.genre=bookitem&rft.isbn=3-540-67995-2&rft.pages=376&rft.pub=Springer&rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3DkvoaoWOfqd8C%26pg%3DPA376&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></span> </li> <li id="cite_note-3"><span class="mw-cite-backlink"><b><a href="#cite_ref-3">^</a></b></span> <span class="reference-text"><cite class="citation journal">Yale, Paul B. (мај 1966). <a rel="nofollow" class="external text" href="https://web.archive.org/web/20201108174430/https://www.maa.org/sites/default/files/pdf/upload_library/22/Ford/PaulBYale.pdf">„Automorphisms of the Complex Numbers”</a> <span style="font-size:85%;">(PDF)</span>. <i>Mathematics Magazine</i>. <b>39</b> (3): 135—141. <a href="/wiki/JSTOR" title="JSTOR">JSTOR</a> <a rel="nofollow" class="external text" href="//www.jstor.org/stable/2689301">2689301</a>. <a href="/wiki/Digitalni_identifikator_objekta" title="Digitalni identifikator objekta">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.2307%2F2689301">10.2307/2689301</a>. Архивирано из <a rel="nofollow" class="external text" href="http://www.maa.org/sites/default/files/pdf/upload_library/22/Ford/PaulBYale.pdf">оригинала</a> <span style="font-size:85%;">(PDF)</span> 08. 11. 2020. г<span class="reference-accessdate">. Приступљено <span class="nowrap">27. 06. 2023</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3AReprezentacija+grupa&rft.atitle=Automorphisms+of+the+Complex+Numbers&rft.aufirst=Paul+B.&rft.aulast=Yale&rft.date=1966&rft.genre=article&rft.issue=3&rft.jtitle=Mathematics+Magazine&rft.pages=135-141&rft.volume=39&rft_id=%2F%2Fwww.jstor.org%2Fstable%2F2689301&rft_id=http%3A%2F%2Fwww.maa.org%2Fsites%2Fdefault%2Ffiles%2Fpdf%2Fupload_library%2F22%2FFord%2FPaulBYale.pdf&rft_id=info%3Adoi%2F10.2307%2F2689301&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal" class="Z3988"><span style="display:none;"> </span></span><span class="citation-comment" style="display:none; color:#33aa33; margin-left:0.3em">CS1 одржавање: Формат датума (<a href="/wiki/%D0%9A%D0%B0%D1%82%D0%B5%D0%B3%D0%BE%D1%80%D0%B8%D1%98%D0%B0:CS1_%D0%BE%D0%B4%D1%80%D0%B6%D0%B0%D0%B2%D0%B0%D1%9A%D0%B5:_%D0%A4%D0%BE%D1%80%D0%BC%D0%B0%D1%82_%D0%B4%D0%B0%D1%82%D1%83%D0%BC%D0%B0" title="Категорија:CS1 одржавање: Формат датума">веза</a>)</span></span> </li> <li id="cite_note-4"><span class="mw-cite-backlink"><b><a href="#cite_ref-4">^</a></b></span> <span class="reference-text"><cite id="CITEREFLounesto2001" class="citation">Lounesto, Pertti (2001), <i>Clifford Algebras and Spinors</i> (2nd изд.), Cambridge University Press, стр. 22—23, <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/0-521-00551-5" title="Посебно:Штампани извори/0-521-00551-5">0-521-00551-5</a></cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3AReprezentacija+grupa&rft.aufirst=Pertti&rft.aulast=Lounesto&rft.btitle=Clifford+Algebras+and+Spinors&rft.date=2001&rft.edition=2nd&rft.genre=book&rft.isbn=0-521-00551-5&rft.pages=22-23&rft.pub=Cambridge+University+Press&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></span> </li> <li id="cite_note-5"><span class="mw-cite-backlink"><b><a href="#cite_ref-5">^</a></b></span> <span class="reference-text"><cite id="CITEREFBourbaki1987" class="citation"><a href="/w/index.php?title=Nicolas_Bourbaki&action=edit&redlink=1" class="new" title="Nicolas Bourbaki (страница не постоји)">Bourbaki, Nicolas</a> (1987), <i>Topological vector spaces</i>, Elements of mathematics, Berlin, New York: <a href="/w/index.php?title=Springer-Verlag&action=edit&redlink=1" class="new" title="Springer-Verlag (страница не постоји)">Springer-Verlag</a>, <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/978-3-540-13627-9" title="Посебно:Штампани извори/978-3-540-13627-9">978-3-540-13627-9</a></cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3AReprezentacija+grupa&rft.aufirst=Nicolas&rft.aulast=Bourbaki&rft.btitle=Topological+vector+spaces&rft.date=1987&rft.genre=book&rft.isbn=978-3-540-13627-9&rft.place=Berlin%2C+New+York&rft.pub=Springer-Verlag&rft.series=Elements+of+mathematics&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></span> </li> <li id="cite_note-6"><span class="mw-cite-backlink"><b><a href="#cite_ref-6">^</a></b></span> <span class="reference-text"><cite id="CITEREFBourbaki2004" class="citation"><a href="/w/index.php?title=Nicolas_Bourbaki&action=edit&redlink=1" class="new" title="Nicolas Bourbaki (страница не постоји)">Bourbaki, Nicolas</a> (2004), <i>Integration I</i>, Berlin, New York: <a href="/w/index.php?title=Springer-Verlag&action=edit&redlink=1" class="new" title="Springer-Verlag (страница не постоји)">Springer-Verlag</a>, <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/978-3-540-41129-1" title="Посебно:Штампани извори/978-3-540-41129-1">978-3-540-41129-1</a></cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3AReprezentacija+grupa&rft.aufirst=Nicolas&rft.aulast=Bourbaki&rft.btitle=Integration+I&rft.date=2004&rft.genre=book&rft.isbn=978-3-540-41129-1&rft.place=Berlin%2C+New+York&rft.pub=Springer-Verlag&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></span> </li> <li id="cite_note-7"><span class="mw-cite-backlink"><b><a href="#cite_ref-7">^</a></b></span> <span class="reference-text">Fulton-Harris. Introduction to representation theory with emphasis on <a href="/w/index.php?title=Lie_groups&action=edit&redlink=1" class="new" title="Lie groups (страница не постоји)">Lie groups</a>.</span> </li> </ol></div></div> <div class="mw-heading mw-heading2"><h2 id="Literatura">Literatura</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Reprezentacija_grupa&veaction=edit&section=3" title="Уредите одељак „Literatura”" class="mw-editsection-visualeditor"><span>уреди</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Reprezentacija_grupa&action=edit&section=3" title="Уреди извор одељка: Literatura"><span>уреди извор</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r28440192">.mw-parser-output .refbegin{margin-bottom:0.5em}.mw-parser-output .refbegin-hanging-indents>ul{margin-left:0}.mw-parser-output .refbegin-hanging-indents>ul>li{margin-left:0;padding-left:3.2em;text-indent:-3.2em}.mw-parser-output .refbegin-hanging-indents ul,.mw-parser-output .refbegin-hanging-indents ul li{list-style:none}@media(max-width:720px){.mw-parser-output .refbegin-hanging-indents>ul>li{padding-left:1.6em;text-indent:-1.6em}}.mw-parser-output .refbegin-columns{margin-top:0.3em}.mw-parser-output .refbegin-columns ul{margin-top:0}.mw-parser-output .refbegin-columns li{page-break-inside:avoid;break-inside:avoid-column}@media screen{.mw-parser-output .refbegin{font-size:90%}}</style><div class="refbegin refbegin-columns references-column-width" style="column-width: 30em"> <ul><li>Yurii I. Lyubich. <i><a rel="nofollow" class="external text" href="https://books.google.com/books?id=gCr3BwAAQBAJ&printsec=frontcover&dq=%22Introduction+to+the+Theory+of+Banach+Representations+of+Groups%22&hl=en&sa=X&ved=0ahUKEwi62rDrx9DjAhVLK80KHdpBDnQQ6AEIKjAA#v=onepage&q=%22Introduction%20to%20the%20Theory%20of%20Banach%20Representations%20of%20Groups%22&f=false">Introduction to the Theory of Banach Representations of Groups</a></i>. Translated from the 1985 Russian-language edition (Kharkov, Ukraine). Birkhäuser Verlag. 1988.</li> <li>Lecture 2 of <a href="/w/index.php?title=%D0%A8%D0%B0%D0%B1%D0%BB%D0%BE%D0%BD:Fulton-Harris&action=edit&redlink=1" class="new" title="Шаблон:Fulton-Harris (страница не постоји)">Шаблон:Fulton-Harris</a> <a rel="nofollow" class="external text" href="http://isites.harvard.edu/fs/docs/icb.topic1381051.files/fulton-harris-representation-theory.pdf">online</a></li> <li><cite id="CITEREFGannon2006" class="citation book">Gannon, Terry (2006). <i>Moonshine beyond the Monster: The Bridge Connecting Algebra, Modular Forms and Physics</i>. <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/978-0-521-83531-2" title="Посебно:Штампани извори/978-0-521-83531-2">978-0-521-83531-2</a>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3AReprezentacija+grupa&rft.aufirst=Terry&rft.aulast=Gannon&rft.btitle=Moonshine+beyond+the+Monster%3A+The+Bridge+Connecting+Algebra%2C+Modular+Forms+and+Physics&rft.date=2006&rft.genre=book&rft.isbn=978-0-521-83531-2&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></li> <li><cite id="CITEREFHall2015" class="citation">Hall, Brian C. (2015), <i>Lie groups, Lie algebras, and representations: An elementary introduction</i>, Graduate Texts in Mathematics, <b>222</b> (2nd изд.), Springer, <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/978-3319134666" title="Посебно:Штампани извори/978-3319134666">978-3319134666</a></cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3AReprezentacija+grupa&rft.aufirst=Brian+C.&rft.aulast=Hall&rft.btitle=Lie+groups%2C+Lie+algebras%2C+and+representations%3A+An+elementary+introduction&rft.date=2015&rft.edition=2nd&rft.genre=book&rft.isbn=978-3319134666&rft.pub=Springer&rft.series=Graduate+Texts+in+Mathematics&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></li> <li><cite class="citation book">Isaacs, I.M. (1994). <i>Character Theory of Finite Groups</i> (Corrected reprint of the 1976 original, published by Academic Press. изд.). Dover. <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/978-0-486-68014-9" title="Посебно:Штампани извори/978-0-486-68014-9">978-0-486-68014-9</a>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3AReprezentacija+grupa&rft.aufirst=I.M.&rft.aulast=Isaacs&rft.btitle=Character+Theory+of+Finite+Groups&rft.date=1994&rft.edition=Corrected+reprint+of+the+1976+original%2C+published+by+Academic+Press.&rft.genre=book&rft.isbn=978-0-486-68014-9&rft.pub=Dover&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></li> <li><cite class="citation book">James, Gordon; Liebeck, Martin (2001). <i>Representations and Characters of Groups (2nd ed.)</i>. Cambridge University Press. <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/978-0-521-00392-6" title="Посебно:Штампани извори/978-0-521-00392-6">978-0-521-00392-6</a>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3AReprezentacija+grupa&rft.au=Liebeck%2C+Martin&rft.aufirst=Gordon&rft.aulast=James&rft.btitle=Representations+and+Characters+of+Groups+%282nd+ed.%29&rft.date=2001&rft.genre=book&rft.isbn=978-0-521-00392-6&rft.pub=Cambridge+University+Press&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></li> <li><cite class="citation book"><a href="/w/index.php?title=J.-P._Serre&action=edit&redlink=1" class="new" title="J.-P. Serre (страница не постоји)">Serre, Jean-Pierre</a> (1977). <span class="plainlinks"><a rel="nofollow" class="external text" href="https://archive.org/details/linearrepresenta1977serr"><i>Linear Representations of Finite <span class="nowrap">Groups<span style="padding-left:0.15em"><span typeof="mw:File"><span title="Неопходна слободна регистрација"><img alt="Неопходна слободна регистрација" src="//upload.wikimedia.org/wikipedia/commons/thumb/b/b4/Lock-blue-alt-2.svg/9px-Lock-blue-alt-2.svg.png" decoding="async" width="9" height="14" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/b4/Lock-blue-alt-2.svg/14px-Lock-blue-alt-2.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/b4/Lock-blue-alt-2.svg/18px-Lock-blue-alt-2.svg.png 2x" data-file-width="512" data-file-height="813" /></span></span></span></span></i></a></span>. Graduate Texts in Mathematics. <b>42</b>. Translated from the second French edition by Leonard L. Scott. New York-Heidelberg: Springer-Verlag. <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/978-0-387-90190-9" title="Посебно:Штампани извори/978-0-387-90190-9">978-0-387-90190-9</a>. <a href="https://en.wikipedia.org/wiki/Mathematical_Reviews" class="extiw" title="en:Mathematical Reviews">MR</a> <a rel="nofollow" class="external text" href="//www.ams.org/mathscinet-getitem?mr=0450380">0450380</a>. <a href="/wiki/Digitalni_identifikator_objekta" title="Digitalni identifikator objekta">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1007%2F978-1-4684-9458-7">10.1007/978-1-4684-9458-7</a>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3AReprezentacija+grupa&rft.aufirst=Jean-Pierre&rft.aulast=Serre&rft.btitle=Linear+Representations+of+Finite+Groups&rft.date=1977&rft.genre=book&rft.isbn=978-0-387-90190-9&rft.place=New+York-Heidelberg&rft.pub=Springer-Verlag&rft.series=Graduate+Texts+in+Mathematics&rft_id=%2F%2Fwww.ams.org%2Fmathscinet-getitem%3Fmr%3D0450380&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Flinearrepresenta1977serr&rft_id=info%3Adoi%2F10.1007%2F978-1-4684-9458-7&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></li> <li><cite class="citation book">Bonnafé, Cedric (2010). <a rel="nofollow" class="external text" href="https://books.google.com/books?id=xehwfWBV5EwC&"><i>Representations of SL2(Fq)</i></a>. Algebra and Applications. <b>13</b>. Springer. <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/9780857291578" title="Посебно:Штампани извори/9780857291578">9780857291578</a>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3AReprezentacija+grupa&rft.aufirst=Cedric&rft.aulast=Bonnaf%C3%A9&rft.btitle=Representations+of+SL2%28Fq%29&rft.date=2010&rft.genre=book&rft.isbn=9780857291578&rft.pub=Springer&rft.series=Algebra+and+Applications&rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3DxehwfWBV5EwC%26&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></li> <li><cite id="CITEREFBump2004" class="citation">Bump, Daniel (2004), <i>Lie Groups</i>, Graduate Texts in Mathematics, <b>225</b>, New York: Springer-Verlag, <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/0-387-21154-3" title="Посебно:Штампани извори/0-387-21154-3">0-387-21154-3</a></cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3AReprezentacija+grupa&rft.aufirst=Daniel&rft.aulast=Bump&rft.btitle=Lie+Groups&rft.date=2004&rft.genre=book&rft.isbn=0-387-21154-3&rft.place=New+York&rft.pub=Springer-Verlag&rft.series=Graduate+Texts+in+Mathematics&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></li> <li>Fulton, William; Harris, Joe: <i>Representation Theory A First Course.</i> Springer-Verlag, New York (1991) <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/0-387-97527-6" title="Посебно:Штампани извори/0-387-97527-6">0-387-97527-6</a>.</li> <li>Alperin, J.L.; Bell, Rowen B.: <i>Groups and Representations</i> Springer-Verlag, New York (1995) <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/0-387-94525-3" title="Посебно:Штампани извори/0-387-94525-3">0-387-94525-3</a>.</li> <li>Deitmar, Anton: <i>Automorphe Formen</i> Springer-Verlag 2010, <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/978-3-642-12389-4" title="Посебно:Штампани извори/978-3-642-12389-4">978-3-642-12389-4</a>. стр. 89-93,185-189.</li> <li>Echterhoff, Siegfried; Deitmar, Anton: <i>Principles of harmonic analysis</i> Springer-Verlag 2009, <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/978-0-387-85468-7" title="Посебно:Штампани извори/978-0-387-85468-7">978-0-387-85468-7</a>. стр. 127-150.</li> <li>Lang, Serge: <i> Algebra</i> Springer-Verlag, New York 2002, <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/0-387-95385-X" title="Посебно:Штампани извори/0-387-95385-X">0-387-95385-X</a>. стр. 663-729.</li> <li><cite class="citation book">Sengupta, Ambar (2012). <i>Representing finite groups: a semisimple introduction</i>. New York. <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/9781461412311" title="Посебно:Штампани извори/9781461412311">9781461412311</a>. <a href="/wiki/OCLC" title="OCLC">OCLC</a> <a rel="nofollow" class="external text" href="//www.worldcat.org/oclc/769756134">769756134</a>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3AReprezentacija+grupa&rft.aufirst=Ambar&rft.aulast=Sengupta&rft.btitle=Representing+finite+groups%3A+a+semisimple+introduction&rft.date=2012&rft.genre=book&rft.isbn=9781461412311&rft.place=New+York&rft_id=info%3Aoclcnum%2F769756134&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></li> <li><cite class="citation book"><a href="/w/index.php?title=Sheldon_Axler&action=edit&redlink=1" class="new" title="Sheldon Axler (страница не постоји)">Axler, Sheldon Jay</a> (2015). <a rel="nofollow" class="external text" href="https://archive.org/details/linearalgebradon0000axle"><i>Linear Algebra Done Right</i></a> (3rd изд.). <a href="/w/index.php?title=Springer_Science%2BBusiness_Media&action=edit&redlink=1" class="new" title="Springer Science+Business Media (страница не постоји)">Springer</a>. <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/978-3-319-11079-0" title="Посебно:Штампани извори/978-3-319-11079-0">978-3-319-11079-0</a>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3AReprezentacija+grupa&rft.aufirst=Sheldon+Jay&rft.aulast=Axler&rft.btitle=Linear+Algebra+Done+Right&rft.date=2015&rft.edition=3rd&rft.genre=book&rft.isbn=978-3-319-11079-0&rft.pub=Springer&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Flinearalgebradon0000axle&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></li> <li><cite class="citation book">Bronshtein, I. N.; Semendyayev, K. A. (2004). <i><a href="/w/index.php?title=Bronshtein_and_Semendyayev&action=edit&redlink=1" class="new" title="Bronshtein and Semendyayev (страница не постоји)">Handbook of Mathematics</a></i> (4th изд.). New York: Springer-Verlag. <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/3-540-43491-7" title="Посебно:Штампани извори/3-540-43491-7">3-540-43491-7</a>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3AReprezentacija+grupa&rft.au=Semendyayev%2C+K.+A.&rft.aufirst=I.+N.&rft.aulast=Bronshtein&rft.btitle=Handbook+of+Mathematics&rft.date=2004&rft.edition=4th&rft.genre=book&rft.isbn=3-540-43491-7&rft.place=New+York&rft.pub=Springer-Verlag&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></li> <li><cite class="citation book"><a href="/w/index.php?title=Paul_Halmos&action=edit&redlink=1" class="new" title="Paul Halmos (страница не постоји)">Halmos, Paul Richard</a> (1974) [1958]. <i>Finite-Dimensional Vector Spaces</i> (2nd изд.). <a href="/w/index.php?title=Springer_Science%2BBusiness_Media&action=edit&redlink=1" class="new" title="Springer Science+Business Media (страница не постоји)">Springer</a>. <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/0-387-90093-4" title="Посебно:Штампани извори/0-387-90093-4">0-387-90093-4</a>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3AReprezentacija+grupa&rft.aufirst=Paul+Richard&rft.aulast=Halmos&rft.btitle=Finite-Dimensional+Vector+Spaces&rft.date=1974&rft.edition=2nd&rft.genre=book&rft.isbn=0-387-90093-4&rft.pub=Springer&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></li> <li><cite class="citation book">Horn, Roger A.; Johnson, Charles R. (2013). <i>Matrix Analysis</i> (Second изд.). <a href="/wiki/Cambridge_University_Press" title="Cambridge University Press">Cambridge University Press</a>. <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/978-0-521-83940-2" title="Посебно:Штампани извори/978-0-521-83940-2">978-0-521-83940-2</a>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3AReprezentacija+grupa&rft.au=Johnson%2C+Charles+R.&rft.aufirst=Roger+A.&rft.aulast=Horn&rft.btitle=Matrix+Analysis&rft.date=2013&rft.edition=Second&rft.genre=book&rft.isbn=978-0-521-83940-2&rft.pub=Cambridge+University+Press&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></li> <li><cite class="citation book">Kubrusly, Carlos (2001). <i>Elements of operator theory</i>. Boston: Birkhäuser. <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/978-1-4757-3328-0" title="Посебно:Штампани извори/978-1-4757-3328-0">978-1-4757-3328-0</a>. <a href="/wiki/OCLC" title="OCLC">OCLC</a> <a rel="nofollow" class="external text" href="//www.worldcat.org/oclc/754555941">754555941</a>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3AReprezentacija+grupa&rft.aufirst=Carlos&rft.aulast=Kubrusly&rft.btitle=Elements+of+operator+theory&rft.date=2001&rft.genre=book&rft.isbn=978-1-4757-3328-0&rft.place=Boston&rft.pub=Birkh%C3%A4user&rft_id=info%3Aoclcnum%2F754555941&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></li> <li><cite id="CITEREFLang1987" class="citation"><a href="/w/index.php?title=Serge_Lang&action=edit&redlink=1" class="new" title="Serge Lang (страница не постоји)">Lang, Serge</a> (1987), <i>Linear Algebra</i> (Third изд.), New York: <a href="/w/index.php?title=Springer-Verlag&action=edit&redlink=1" class="new" title="Springer-Verlag (страница не постоји)">Springer-Verlag</a>, <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/0-387-96412-6" title="Посебно:Штампани извори/0-387-96412-6">0-387-96412-6</a></cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3AReprezentacija+grupa&rft.aufirst=Serge&rft.aulast=Lang&rft.btitle=Linear+Algebra&rft.date=1987&rft.edition=Third&rft.genre=book&rft.isbn=0-387-96412-6&rft.place=New+York&rft.pub=Springer-Verlag&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></li> <li><cite class="citation book"><a href="/w/index.php?title=Walter_Rudin&action=edit&redlink=1" class="new" title="Walter Rudin (страница не постоји)">Rudin, Walter</a> (1976). <a rel="nofollow" class="external text" href="https://archive.org/details/PrinciplesOfMathematicalAnalysis"><i>Principles of Mathematical Analysis</i></a>. Walter Rudin Student Series in Advanced Mathematics (3rd изд.). New York: McGraw–Hill. <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/978-0-07-054235-8" title="Посебно:Штампани извори/978-0-07-054235-8">978-0-07-054235-8</a>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3AReprezentacija+grupa&rft.aufirst=Walter&rft.aulast=Rudin&rft.btitle=Principles+of+Mathematical+Analysis&rft.date=1976&rft.edition=3rd&rft.genre=book&rft.isbn=978-0-07-054235-8&rft.place=New+York&rft.pub=McGraw%E2%80%93Hill&rft.series=Walter+Rudin+Student+Series+in+Advanced+Mathematics&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2FPrinciplesOfMathematicalAnalysis&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></li> <li><cite class="citation book"><a href="/w/index.php?title=Loring_W._Tu&action=edit&redlink=1" class="new" title="Loring W. Tu (страница не постоји)">Tu, Loring W.</a> (2011). <i>An Introduction to Manifolds</i> (2nd изд.). <a href="/w/index.php?title=Springer_Science%2BBusiness_Media&action=edit&redlink=1" class="new" title="Springer Science+Business Media (страница не постоји)">Springer</a>. <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/978-0-8218-4419-9" title="Посебно:Штампани извори/978-0-8218-4419-9">978-0-8218-4419-9</a>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3AReprezentacija+grupa&rft.aufirst=Loring+W.&rft.aulast=Tu&rft.btitle=An+Introduction+to+Manifolds&rft.date=2011&rft.edition=2nd&rft.genre=book&rft.isbn=978-0-8218-4419-9&rft.pub=Springer&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></li> <li><cite class="citation journal"><a href="/wiki/William_Rowan_Hamilton" class="mw-redirect" title="William Rowan Hamilton">Sir William Rowan Hamilton</a> (1856). <a rel="nofollow" class="external text" href="http://www.maths.tcd.ie/pub/HistMath/People/Hamilton/Icosian/NewSys.pdf">„Memorandum respecting a new System of Roots of Unity”</a> <span style="font-size:85%;">(PDF)</span>. <i><a href="/w/index.php?title=Philosophical_Magazine&action=edit&redlink=1" class="new" title="Philosophical Magazine (страница не постоји)">Philosophical Magazine</a></i>. <b>12</b>: 446. <a rel="nofollow" class="external text" href="https://ghostarchive.org/archive/20221009/http://www.maths.tcd.ie/pub/HistMath/People/Hamilton/Icosian/NewSys.pdf">Архивирано</a> <span style="font-size:85%;">(PDF)</span> из оригинала 2022-10-09. г.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3AReprezentacija+grupa&rft.atitle=Memorandum+respecting+a+new+System+of+Roots+of+Unity&rft.au=Sir+William+Rowan+Hamilton&rft.date=1856&rft.genre=article&rft.jtitle=Philosophical+Magazine&rft.pages=446&rft.volume=12&rft_id=http%3A%2F%2Fwww.maths.tcd.ie%2Fpub%2FHistMath%2FPeople%2FHamilton%2FIcosian%2FNewSys.pdf&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal" class="Z3988"><span style="display:none;"> </span></span></li> <li><cite id="CITEREFArtin1991" class="citation"><a href="/w/index.php?title=Michael_Artin&action=edit&redlink=1" class="new" title="Michael Artin (страница не постоји)">Artin, Michael</a> (1991), <i>Algebra</i>, <a href="/w/index.php?title=Prentice_Hall&action=edit&redlink=1" class="new" title="Prentice Hall (страница не постоји)">Prentice Hall</a>, <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/978-0-89871-510-1" title="Посебно:Штампани извори/978-0-89871-510-1">978-0-89871-510-1</a></cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3AReprezentacija+grupa&rft.aufirst=Michael&rft.aulast=Artin&rft.btitle=Algebra&rft.date=1991&rft.genre=book&rft.isbn=978-0-89871-510-1&rft.pub=Prentice+Hall&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></li> <li><cite id="CITEREFBlass1984" class="citation"><a href="/w/index.php?title=Andreas_Blass&action=edit&redlink=1" class="new" title="Andreas Blass (страница не постоји)">Blass, Andreas</a> (1984), <a rel="nofollow" class="external text" href="http://www.math.lsa.umich.edu/~ablass/bases-AC.pdf">„Existence of bases implies the axiom of choice”</a> <span style="font-size:85%;">(PDF)</span>, <i>Axiomatic set theory (Boulder, Colorado, 1983)</i>, Contemporary Mathematics, <b>31</b>, Providence, R.I.: <a href="/w/index.php?title=American_Mathematical_Society&action=edit&redlink=1" class="new" title="American Mathematical Society (страница не постоји)">American Mathematical Society</a>, стр. 31—33, <a href="https://en.wikipedia.org/wiki/Mathematical_Reviews" class="extiw" title="en:Mathematical Reviews">MR</a> <a rel="nofollow" class="external text" href="//www.ams.org/mathscinet-getitem?mr=763890">763890</a></cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3AReprezentacija+grupa&rft.atitle=Existence+of+bases+implies+the+axiom+of+choice&rft.aufirst=Andreas&rft.aulast=Blass&rft.btitle=Axiomatic+set+theory+%28Boulder%2C+Colorado%2C+1983%29&rft.date=1984&rft.genre=bookitem&rft.pages=31-33&rft.place=Providence%2C+R.I.&rft.pub=American+Mathematical+Society&rft.series=Contemporary+Mathematics&rft_id=%2F%2Fwww.ams.org%2Fmathscinet-getitem%3Fmr%3D763890&rft_id=http%3A%2F%2Fwww.math.lsa.umich.edu%2F~ablass%2Fbases-AC.pdf&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></li> <li><cite id="CITEREFBrown1991" class="citation">Brown, William A. (1991), <span class="plainlinks"><a rel="nofollow" class="external text" href="https://archive.org/details/matricesvectorsp0000brow"><i>Matrices and vector <span class="nowrap">spaces<span style="padding-left:0.15em"><span typeof="mw:File"><span title="Неопходна слободна регистрација"><img alt="Неопходна слободна регистрација" src="//upload.wikimedia.org/wikipedia/commons/thumb/b/b4/Lock-blue-alt-2.svg/9px-Lock-blue-alt-2.svg.png" decoding="async" width="9" height="14" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/b4/Lock-blue-alt-2.svg/14px-Lock-blue-alt-2.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/b4/Lock-blue-alt-2.svg/18px-Lock-blue-alt-2.svg.png 2x" data-file-width="512" data-file-height="813" /></span></span></span></span></i></a></span>, New York: M. Dekker, <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/978-0-8247-8419-5" title="Посебно:Штампани извори/978-0-8247-8419-5">978-0-8247-8419-5</a></cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3AReprezentacija+grupa&rft.aufirst=William+A.&rft.aulast=Brown&rft.btitle=Matrices+and+vector+spaces&rft.date=1991&rft.genre=book&rft.isbn=978-0-8247-8419-5&rft.place=New+York&rft.pub=M.+Dekker&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fmatricesvectorsp0000brow&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></li> <li><cite id="CITEREFLang1987" class="citation"><a href="/w/index.php?title=Serge_Lang&action=edit&redlink=1" class="new" title="Serge Lang (страница не постоји)">Lang, Serge</a> (1987), <i>Linear algebra</i>, Berlin, New York: <a href="/w/index.php?title=Springer-Verlag&action=edit&redlink=1" class="new" title="Springer-Verlag (страница не постоји)">Springer-Verlag</a>, <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/978-0-387-96412-6" title="Посебно:Штампани извори/978-0-387-96412-6">978-0-387-96412-6</a></cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3AReprezentacija+grupa&rft.aufirst=Serge&rft.aulast=Lang&rft.btitle=Linear+algebra&rft.date=1987&rft.genre=book&rft.isbn=978-0-387-96412-6&rft.place=Berlin%2C+New+York&rft.pub=Springer-Verlag&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></li> <li><cite id="CITEREFLang2002" class="citation"><a href="/w/index.php?title=Serge_Lang&action=edit&redlink=1" class="new" title="Serge Lang (страница не постоји)">Lang, Serge</a> (2002), <i>Algebra</i>, <a href="/w/index.php?title=Graduate_Texts_in_Mathematics&action=edit&redlink=1" class="new" title="Graduate Texts in Mathematics (страница не постоји)">Graduate Texts in Mathematics</a>, <b>211</b> (Revised third изд.), New York: Springer-Verlag, <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/978-0-387-95385-4" title="Посебно:Штампани извори/978-0-387-95385-4">978-0-387-95385-4</a>, <a href="https://en.wikipedia.org/wiki/Mathematical_Reviews" class="extiw" title="en:Mathematical Reviews">MR</a> <a rel="nofollow" class="external text" href="//www.ams.org/mathscinet-getitem?mr=1878556">1878556</a></cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3AReprezentacija+grupa&rft.aufirst=Serge&rft.aulast=Lang&rft.btitle=Algebra&rft.date=2002&rft.edition=Revised+third&rft.genre=book&rft.isbn=978-0-387-95385-4&rft.place=New+York&rft.pub=Springer-Verlag&rft.series=Graduate+Texts+in+Mathematics&rft_id=%2F%2Fwww.ams.org%2Fmathscinet-getitem%3Fmr%3D1878556&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></li> <li><cite id="CITEREFMac_Lane1999" class="citation"><a href="/w/index.php?title=Saunders_Mac_Lane&action=edit&redlink=1" class="new" title="Saunders Mac Lane (страница не постоји)">Mac Lane, Saunders</a> (1999), <i>Algebra</i> (3rd изд.), стр. 193—222, <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/978-0-8218-1646-2" title="Посебно:Штампани извори/978-0-8218-1646-2">978-0-8218-1646-2</a></cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3AReprezentacija+grupa&rft.aufirst=Saunders&rft.aulast=Mac+Lane&rft.btitle=Algebra&rft.date=1999&rft.edition=3rd&rft.genre=book&rft.isbn=978-0-8218-1646-2&rft.pages=193-222&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></li> <li><cite id="CITEREFMeyer2000" class="citation">Meyer, Carl D. 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href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/978-0-8247-9144-5" title="Посебно:Штампани извори/978-0-8247-9144-5">978-0-8247-9144-5</a></cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3AReprezentacija+grupa&rft.aufirst=Karlheinz&rft.aulast=Spindler&rft.btitle=Abstract+Algebra+with+Applications%3A+Volume+1%3A+Vector+spaces+and+groups&rft.date=1993&rft.genre=book&rft.isbn=978-0-8247-9144-5&rft.pub=CRC&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></li> <li><cite id="CITEREFvan_der_Waerden1993" class="citation"><a href="/w/index.php?title=Bartel_Leendert_van_der_Waerden&action=edit&redlink=1" class="new" title="Bartel Leendert van der Waerden (страница не постоји)">van der Waerden, Bartel Leendert</a> (1993), <i>Algebra</i> (на језику: немачки) (9th изд.), Berlin, New York: <a 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(1989), <i>Real analysis and probability</i>, The Wadsworth & Brooks/Cole Mathematics Series, Pacific Grove, CA: Wadsworth & Brooks/Cole Advanced Books & Software, <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/978-0-534-10050-6" title="Посебно:Штампани извори/978-0-534-10050-6">978-0-534-10050-6</a></cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3AReprezentacija+grupa&rft.aufirst=Richard+M.&rft.aulast=Dudley&rft.btitle=Real+analysis+and+probability&rft.date=1989&rft.genre=book&rft.isbn=978-0-534-10050-6&rft.place=Pacific+Grove%2C+CA&rft.pub=Wadsworth+%26+Brooks%2FCole+Advanced+Books+%26+Software&rft.series=The+Wadsworth+%26+Brooks%2FCole+Mathematics+Series&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></li> <li><cite id="CITEREFDunham2005" class="citation">Dunham, William (2005), <i>The Calculus Gallery</i>, <a href="/wiki/Princeton_University_Press" title="Princeton University Press">Princeton University Press</a>, <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/978-0-691-09565-3" title="Посебно:Штампани извори/978-0-691-09565-3">978-0-691-09565-3</a></cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3AReprezentacija+grupa&rft.aufirst=William&rft.aulast=Dunham&rft.btitle=The+Calculus+Gallery&rft.date=2005&rft.genre=book&rft.isbn=978-0-691-09565-3&rft.pub=Princeton+University+Press&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></li> <li><cite id="CITEREFEvans1998" class="citation">Evans, Lawrence C. 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(1992), <i>Fourier Analysis and Its Applications</i>, Brooks-Cole, <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/978-0-534-17094-3" title="Посебно:Штампани извори/978-0-534-17094-3">978-0-534-17094-3</a></cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3AReprezentacija+grupa&rft.aufirst=Gerald+B.&rft.aulast=Folland&rft.btitle=Fourier+Analysis+and+Its+Applications&rft.date=1992&rft.genre=book&rft.isbn=978-0-534-17094-3&rft.pub=Brooks-Cole&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></li> <li><cite id="CITEREFGasquetWitomski1999" class="citation">Gasquet, Claude; Witomski, Patrick (1999), <i>Fourier Analysis and Applications: Filtering, Numerical Computation, Wavelets</i>, Texts in Applied Mathematics, New York: Springer-Verlag, <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/978-0-387-98485-8" title="Посебно:Штампани извори/978-0-387-98485-8">978-0-387-98485-8</a></cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3AReprezentacija+grupa&rft.au=Witomski%2C+Patrick&rft.aufirst=Claude&rft.aulast=Gasquet&rft.btitle=Fourier+Analysis+and+Applications%3A+Filtering%2C+Numerical+Computation%2C+Wavelets&rft.date=1999&rft.genre=book&rft.isbn=978-0-387-98485-8&rft.place=New+York&rft.pub=Springer-Verlag&rft.series=Texts+in+Applied+Mathematics&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></li> <li><cite id="CITEREFIfeachorJervis2001" class="citation">Ifeachor, Emmanuel C.; Jervis, Barrie W. (2001), <i>Digital Signal Processing: A Practical Approach</i> (2nd изд.), Harlow, Essex, England: Prentice-Hall (објављено 2002), <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/978-0-201-59619-9" title="Посебно:Штампани извори/978-0-201-59619-9">978-0-201-59619-9</a></cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3AReprezentacija+grupa&rft.au=Jervis%2C+Barrie+W.&rft.aufirst=Emmanuel+C.&rft.aulast=Ifeachor&rft.btitle=Digital+Signal+Processing%3A+A+Practical+Approach&rft.date=2001&rft.edition=2nd&rft.genre=book&rft.isbn=978-0-201-59619-9&rft.place=Harlow%2C+Essex%2C+England&rft.pub=Prentice-Hall&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></li> <li><cite id="CITEREFKrantz1999" class="citation">Krantz, Steven G. (1999), <i>A Panorama of Harmonic Analysis</i>, Carus Mathematical Monographs, Washington, DC: Mathematical Association of America, <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/978-0-88385-031-2" title="Посебно:Штампани извори/978-0-88385-031-2">978-0-88385-031-2</a></cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3AReprezentacija+grupa&rft.aufirst=Steven+G.&rft.aulast=Krantz&rft.btitle=A+Panorama+of+Harmonic+Analysis&rft.date=1999&rft.genre=book&rft.isbn=978-0-88385-031-2&rft.place=Washington%2C+DC&rft.pub=Mathematical+Association+of+America&rft.series=Carus+Mathematical+Monographs&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></li> <li><cite id="CITEREFKreyszig1988" class="citation"><a href="/w/index.php?title=Erwin_Kreyszig&action=edit&redlink=1" class="new" title="Erwin Kreyszig (страница не постоји)">Kreyszig, Erwin</a> (1988), <i>Advanced Engineering Mathematics</i> (6th изд.), New York: John Wiley & Sons, <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/978-0-471-85824-9" title="Посебно:Штампани извори/978-0-471-85824-9">978-0-471-85824-9</a></cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3AReprezentacija+grupa&rft.aufirst=Erwin&rft.aulast=Kreyszig&rft.btitle=Advanced+Engineering+Mathematics&rft.date=1988&rft.edition=6th&rft.genre=book&rft.isbn=978-0-471-85824-9&rft.place=New+York&rft.pub=John+Wiley+%26+Sons&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></li> <li><cite id="CITEREFKreyszig1989" class="citation"><a href="/w/index.php?title=Erwin_Kreyszig&action=edit&redlink=1" class="new" title="Erwin Kreyszig (страница не постоји)">Kreyszig, Erwin</a> (1989), <i>Introductory functional analysis with applications</i>, Wiley Classics Library, New York: <a href="/wiki/John_Wiley_%26_Sons" title="John Wiley & Sons">John Wiley & Sons</a>, <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/978-0-471-50459-7" title="Посебно:Штампани извори/978-0-471-50459-7">978-0-471-50459-7</a>, <a href="https://en.wikipedia.org/wiki/Mathematical_Reviews" class="extiw" title="en:Mathematical Reviews">MR</a> <a rel="nofollow" class="external text" href="//www.ams.org/mathscinet-getitem?mr=992618">992618</a></cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3AReprezentacija+grupa&rft.aufirst=Erwin&rft.aulast=Kreyszig&rft.btitle=Introductory+functional+analysis+with+applications&rft.date=1989&rft.genre=book&rft.isbn=978-0-471-50459-7&rft.place=New+York&rft.pub=John+Wiley+%26+Sons&rft.series=Wiley+Classics+Library&rft_id=%2F%2Fwww.ams.org%2Fmathscinet-getitem%3Fmr%3D992618&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></li> <li><cite id="CITEREFLang1983" class="citation"><a href="/w/index.php?title=Serge_Lang&action=edit&redlink=1" class="new" title="Serge Lang (страница не постоји)">Lang, Serge</a> (1983), <i>Real analysis</i>, <a href="/w/index.php?title=Addison-Wesley&action=edit&redlink=1" class="new" title="Addison-Wesley (страница не постоји)">Addison-Wesley</a>, <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/978-0-201-14179-5" title="Посебно:Штампани извори/978-0-201-14179-5">978-0-201-14179-5</a></cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3AReprezentacija+grupa&rft.aufirst=Serge&rft.aulast=Lang&rft.btitle=Real+analysis&rft.date=1983&rft.genre=book&rft.isbn=978-0-201-14179-5&rft.pub=Addison-Wesley&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></li> <li><cite id="CITEREFLang1993" class="citation"><a href="/w/index.php?title=Serge_Lang&action=edit&redlink=1" class="new" title="Serge Lang (страница не постоји)">Lang, Serge</a> (1993), <i>Real and functional analysis</i>, Berlin, New York: <a href="/w/index.php?title=Springer-Verlag&action=edit&redlink=1" class="new" title="Springer-Verlag (страница не постоји)">Springer-Verlag</a>, <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/978-0-387-94001-4" title="Посебно:Штампани извори/978-0-387-94001-4">978-0-387-94001-4</a></cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3AReprezentacija+grupa&rft.aufirst=Serge&rft.aulast=Lang&rft.btitle=Real+and+functional+analysis&rft.date=1993&rft.genre=book&rft.isbn=978-0-387-94001-4&rft.place=Berlin%2C+New+York&rft.pub=Springer-Verlag&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></li> <li><cite id="CITEREFLoomis1953" class="citation">Loomis, Lynn H. (1953), <i>An introduction to abstract harmonic analysis</i>, The University series in higher mathematics, Toronto-New York–London: D. Van Nostrand Company, Inc., стр. x+190, <a href="https://en.wikipedia.org/wiki/Handle_System" class="extiw" title="en:Handle System">hdl</a>:<span class="plainlinks"><a rel="nofollow" class="external text" href="//hdl.handle.net/2027%2Fuc1.b4250788">2027/uc1.b4250788</a> <span typeof="mw:File"><span title="Слободан приступ"><img alt="Слободан приступ" src="//upload.wikimedia.org/wikipedia/commons/thumb/6/65/Lock-green.svg/9px-Lock-green.svg.png" decoding="async" width="9" height="14" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/65/Lock-green.svg/14px-Lock-green.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/65/Lock-green.svg/18px-Lock-green.svg.png 2x" data-file-width="512" data-file-height="813" /></span></span></span></cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3AReprezentacija+grupa&rft.aufirst=Lynn+H.&rft.aulast=Loomis&rft.btitle=An+introduction+to+abstract+harmonic+analysis&rft.date=1953&rft.genre=book&rft.pages=x%2B190&rft.place=Toronto-New+York%E2%80%93London&rft.pub=D.+Van+Nostrand+Company%2C+Inc.&rft.series=The+University+series+in+higher+mathematics&rft_id=info%3Ahdl%2F2027%2Fuc1.b4250788&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></li></ul> </div> <div class="mw-heading mw-heading2"><h2 id="Spojašnje_veze"><span id="Spoja.C5.A1nje_veze"></span>Spojašnje veze</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Reprezentacija_grupa&veaction=edit&section=4" title="Уредите одељак „Spojašnje veze”" class="mw-editsection-visualeditor"><span>уреди</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Reprezentacija_grupa&action=edit&section=4" title="Уреди извор одељка: Spojašnje veze"><span>уреди извор</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r25554621">.mw-parser-output .side-box{margin:4px 0;box-sizing:border-box;border:1px solid #aaa;font-size:88%;line-height:1.25em;background-color:#f9f9f9;display:flow-root}.mw-parser-output .side-box-abovebelow,.mw-parser-output .side-box-text{padding:0.25em 0.9em}.mw-parser-output .side-box-image{padding:2px 0 2px 0.9em;text-align:center}.mw-parser-output .side-box-imageright{padding:2px 0.9em 2px 0;text-align:center}@media(min-width:500px){.mw-parser-output .side-box-flex{display:flex;align-items:center}.mw-parser-output .side-box-text{flex:1}}@media(min-width:720px){.mw-parser-output .side-box{width:238px}.mw-parser-output .side-box-right{clear:right;float:right;margin-left:1em}.mw-parser-output .side-box-left{margin-right:1em}}</style><div class="side-box side-box-right plainlinks sistersitebox"><style data-mw-deduplicate="TemplateStyles:r25554968">.mw-parser-output .plainlist ol,.mw-parser-output .plainlist ul{line-height:inherit;list-style:none;margin:0;padding:0}.mw-parser-output .plainlist ol li,.mw-parser-output .plainlist ul li{margin-bottom:0}</style> <div class="side-box-flex"> <div class="side-box-image"><span class="noviewer" typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/30px-Commons-logo.svg.png" decoding="async" width="30" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/45px-Commons-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/59px-Commons-logo.svg.png 2x" data-file-width="1024" data-file-height="1376" /></span></span></div> <div class="side-box-text plainlist"><span style="font-weight:bold; font-style: italic;"><a href="https://commons.wikimedia.org/wiki/Category:Group_representation" class="extiw" title="commons:Category:Group representation">Reprezentacija grupa</a></span> на <a href="https://commons.wikimedia.org/wiki/%D0%93%D0%BB%D0%B0%D0%B2%D0%BD%D0%B0_%D1%81%D1%82%D1%80%D0%B0%D0%BD%D0%B0" class="extiw" title="commons:Главна страна">Викимедијиној остави</a>.</div></div> </div> <ul><li><a rel="nofollow" class="external text" href="https://mathworld.wolfram.com/GroupRepresentation.html">Group Representation</a></li> <li><a rel="nofollow" class="external text" href="https://math.berkeley.edu/~teleman/math/RepThry.pdf">Representation TheoryCT, Lent 2005</a></li></ul> <div class="navbox-styles"><style data-mw-deduplicate="TemplateStyles:r25469611">.mw-parser-output .hlist dl,.mw-parser-output .hlist ol,.mw-parser-output .hlist ul{margin:0;padding:0}.mw-parser-output .hlist dd,.mw-parser-output .hlist dt,.mw-parser-output .hlist li{margin:0;display:inline}.mw-parser-output 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