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James E. Humphreys — Wikipédia

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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="Basculer la table des matières" > <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">Basculer la table des matières</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">James E. Humphreys</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="Aller à un article dans une autre langue. Disponible en 6 langues." > <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-6" 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">6 langues</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%AC%D9%8A%D9%85%D8%B3_%D8%A5%D9%8A._%D9%87%D9%85%D9%81%D8%B1%D9%8A%D8%B2" title="جيمس إي. همفريز – arabe" lang="ar" hreflang="ar" data-title="جيمس إي. همفريز" data-language-autonym="العربية" data-language-local-name="arabe" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/James_E._Humphreys" title="James E. Humphreys – allemand" lang="de" hreflang="de" data-title="James E. Humphreys" data-language-autonym="Deutsch" data-language-local-name="allemand" 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/James_E._Humphreys" title="James E. Humphreys – anglais" lang="en" hreflang="en" data-title="James E. Humphreys" data-language-autonym="English" data-language-local-name="anglais" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%AC%DB%8C%D9%85%D8%B2_%D9%87%D8%A7%D9%85%D9%81%D8%B1%DB%8C%D8%B2" title="جیمز هامفریز – persan" lang="fa" hreflang="fa" data-title="جیمز هامفریز" data-language-autonym="فارسی" data-language-local-name="persan" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/James_E._Humphreys" title="James E. Humphreys – norvégien bokmål" lang="nb" hreflang="nb" data-title="James E. Humphreys" data-language-autonym="Norsk bokmål" data-language-local-name="norvégien bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/James_Edward_Humphreys" title="James Edward Humphreys – portugais" lang="pt" hreflang="pt" data-title="James Edward Humphreys" data-language-autonym="Português" data-language-local-name="portugais" class="interlanguage-link-target"><span>Português</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/Q1680315#sitelinks-wikipedia" title="Modifier les liens interlangues" class="wbc-editpage">Modifier les liens</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="Espaces de noms"> <div 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comme PDF</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=James_E._Humphreys&amp;printable=yes" title="Version imprimable de cette page [p]" accesskey="p"><span>Version imprimable</span></a></li> </ul> </div> </div> <div id="p-wikibase-otherprojects" class="vector-menu mw-portlet mw-portlet-wikibase-otherprojects" > <div class="vector-menu-heading"> Dans d’autres projets </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q1680315" title="Lien vers l’élément dans le dépôt de données connecté [g]" accesskey="g"><span>Élément Wikidata</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> </div> </div> </div> <div class="vector-column-end"> <div class="vector-sticky-pinned-container"> <nav class="vector-page-tools-landmark" aria-label="Outils de la page"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Apparence"> <div id="vector-appearance-pinned-container" class="vector-pinned-container"> <div id="vector-appearance" class="vector-appearance vector-pinnable-element"> <div class="vector-pinnable-header vector-appearance-pinnable-header vector-pinnable-header-pinned" data-feature-name="appearance-pinned" data-pinnable-element-id="vector-appearance" data-pinned-container-id="vector-appearance-pinned-container" data-unpinned-container-id="vector-appearance-unpinned-container" > <div class="vector-pinnable-header-label">Apparence</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">déplacer vers la barre latérale</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">masquer</button> </div> </div> </div> </nav> </div> </div> <div id="bodyContent" class="vector-body" aria-labelledby="firstHeading" data-mw-ve-target-container> <div class="vector-body-before-content"> <div class="mw-indicators"> </div> <div id="siteSub" class="noprint">Un article de Wikipédia, l&#039;encyclopédie libre.</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="fr" dir="ltr"><div class="infobox_v3 infobox infobox--frwiki noarchive large"><div class="entete icon maths" style="background-color:#BFD7FF;color:#000000"><div>James Edward Humphreys<style data-mw-deduplicate="TemplateStyles:r201193725">.mw-parser-output .entete.maths{background-image:url("//upload.wikimedia.org/wikipedia/commons/3/37/Fourier_infobox.png")}</style></div></div><div><div class="images" style="padding:2px 0"><span class="mw-default-size skin-invert notheme" typeof="mw:File/Frameless"><a href="/wiki/Aide:Ins%C3%A9rer_une_image" title="Aide:Insérer une image"><img alt="une illustration sous licence libre serait bienvenue" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/f7/Defaut_2.svg/langfr-260px-Defaut_2.svg.png" decoding="async" width="260" height="59" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/f7/Defaut_2.svg/langfr-390px-Defaut_2.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/f7/Defaut_2.svg/langfr-520px-Defaut_2.svg.png 2x" data-file-width="175" data-file-height="40" /></a></span></div></div><table><caption style="color:#000000;text-align:center;background-color:#BFD7FF">Biographie</caption><tbody><tr class=""><th scope="row">Naissance</th><td class=""><div> <span class="wd_p569"><time datetime="1939" data-sort-value="1939" class="date-lien"><a href="/wiki/1939" title="1939">1939</a></time><span class="noprint wikidata-linkback skin-invert"><span class="mw-valign-baseline noviewer" typeof="mw:File"><a href="https://www.wikidata.org/wiki/Q1680315?uselang=fr#P569" title="Voir et modifier les données sur Wikidata"><img alt="Voir et modifier les données sur Wikidata" src="//upload.wikimedia.org/wikipedia/commons/thumb/7/73/Blue_pencil.svg/10px-Blue_pencil.svg.png" decoding="async" width="10" height="10" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/73/Blue_pencil.svg/15px-Blue_pencil.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/73/Blue_pencil.svg/20px-Blue_pencil.svg.png 2x" data-file-width="600" data-file-height="600" /></a></span></span></span><br /><span class="wd_p19"><a href="/wiki/%C3%89ri%C3%A9" title="Érié">Érié</a><span class="noprint wikidata-linkback skin-invert"><span class="mw-valign-baseline noviewer" typeof="mw:File"><a href="https://www.wikidata.org/wiki/Q1680315?uselang=fr#P19" title="Voir et modifier les données sur Wikidata"><img alt="Voir et modifier les données sur Wikidata" src="//upload.wikimedia.org/wikipedia/commons/thumb/7/73/Blue_pencil.svg/10px-Blue_pencil.svg.png" decoding="async" width="10" height="10" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/73/Blue_pencil.svg/15px-Blue_pencil.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/73/Blue_pencil.svg/20px-Blue_pencil.svg.png 2x" data-file-width="600" data-file-height="600" /></a></span></span></span></div></td></tr><tr class=""><th scope="row">Décès</th><td class=""><div> <span class="wd_p570"><time class="nowrap date-lien" datetime="2020-08-27" data-sort-value="2020-08-27"><a href="/wiki/27_ao%C3%BBt" title="27 août">27</a> <a href="/wiki/Ao%C3%BBt_2020" title="Août 2020">août</a> <a href="/wiki/2020" title="2020">2020</a></time><span class="noprint wikidata-linkback skin-invert"><span class="mw-valign-baseline noviewer" typeof="mw:File"><a href="https://www.wikidata.org/wiki/Q1680315?uselang=fr#P570" title="Voir et modifier les données sur Wikidata"><img alt="Voir et modifier les données sur Wikidata" src="//upload.wikimedia.org/wikipedia/commons/thumb/7/73/Blue_pencil.svg/10px-Blue_pencil.svg.png" decoding="async" width="10" height="10" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/73/Blue_pencil.svg/15px-Blue_pencil.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/73/Blue_pencil.svg/20px-Blue_pencil.svg.png 2x" data-file-width="600" data-file-height="600" /></a></span></span></span><br /><span class="wd_p20">Leeds <small>(<a href="https://en.wikipedia.org/wiki/Leeds,_Massachusetts" class="extiw" title="en:Leeds, Massachusetts"><span class="indicateur-langue" title="Article sur Wikipédia en anglais">en</span></a>)</small><span class="noprint wikidata-linkback skin-invert"><span class="mw-valign-baseline noviewer" typeof="mw:File"><a href="https://www.wikidata.org/wiki/Q1680315?uselang=fr#P20" title="Voir et modifier les données sur Wikidata"><img alt="Voir et modifier les données sur Wikidata" src="//upload.wikimedia.org/wikipedia/commons/thumb/7/73/Blue_pencil.svg/10px-Blue_pencil.svg.png" decoding="async" width="10" height="10" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/73/Blue_pencil.svg/15px-Blue_pencil.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/73/Blue_pencil.svg/20px-Blue_pencil.svg.png 2x" data-file-width="600" data-file-height="600" /></a></span></span></span></div></td></tr><tr class=""><th scope="row">Nationalité</th><td class=""><div> <span class="wd_p27"><a href="/wiki/%C3%89tats-Unis" title="États-Unis">américaine</a><span class="noprint wikidata-linkback skin-invert"><span class="mw-valign-baseline noviewer" typeof="mw:File"><a href="https://www.wikidata.org/wiki/Q1680315?uselang=fr#P27" title="Voir et modifier les données sur Wikidata"><img alt="Voir et modifier les données sur Wikidata" src="//upload.wikimedia.org/wikipedia/commons/thumb/7/73/Blue_pencil.svg/10px-Blue_pencil.svg.png" decoding="async" width="10" height="10" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/73/Blue_pencil.svg/15px-Blue_pencil.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/73/Blue_pencil.svg/20px-Blue_pencil.svg.png 2x" data-file-width="600" data-file-height="600" /></a></span></span></span></div></td></tr><tr class=""><th scope="row">Formation</th><td class=""><div> <span class="wd_p69"><a href="/wiki/Universit%C3%A9_Yale" title="Université Yale">Université Yale</a><br /><a href="/wiki/Universit%C3%A9_Cornell" title="Université Cornell">Université Cornell</a><br /><a href="/wiki/Oberlin_College" title="Oberlin College">Oberlin College</a><br /><a href="/wiki/Universit%C3%A9_du_Massachusetts_%C3%A0_Amherst" title="Université du Massachusetts à Amherst">Université du Massachusetts à Amherst</a><span class="noprint wikidata-linkback skin-invert"><span class="mw-valign-baseline noviewer" typeof="mw:File"><a href="https://www.wikidata.org/wiki/Q1680315?uselang=fr#P69" title="Voir et modifier les données sur Wikidata"><img alt="Voir et modifier les données sur Wikidata" src="//upload.wikimedia.org/wikipedia/commons/thumb/7/73/Blue_pencil.svg/10px-Blue_pencil.svg.png" decoding="async" width="10" height="10" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/73/Blue_pencil.svg/15px-Blue_pencil.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/73/Blue_pencil.svg/20px-Blue_pencil.svg.png 2x" data-file-width="600" data-file-height="600" /></a></span></span></span></div></td></tr><tr class=""><th scope="row">Activités</th><td class=""><div> <span class="wd_p106"><a href="/wiki/Math%C3%A9maticien" title="Mathématicien">Mathématicien</a>, <a href="/wiki/Enseignement" title="Enseignement">professeur d'université</a><span class="noprint wikidata-linkback skin-invert"><span class="mw-valign-baseline noviewer" typeof="mw:File"><a href="https://www.wikidata.org/wiki/Q1680315?uselang=fr#P106" title="Voir et modifier les données sur Wikidata"><img alt="Voir et modifier les données sur Wikidata" src="//upload.wikimedia.org/wikipedia/commons/thumb/7/73/Blue_pencil.svg/10px-Blue_pencil.svg.png" decoding="async" width="10" height="10" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/73/Blue_pencil.svg/15px-Blue_pencil.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/73/Blue_pencil.svg/20px-Blue_pencil.svg.png 2x" data-file-width="600" data-file-height="600" /></a></span></span></span></div></td></tr></tbody></table><table><caption style="color:#000000;text-align:center;background-color:#BFD7FF">Autres informations</caption><tbody><tr class=""><th scope="row">A travaillé pour</th><td class=""><div> <span class="wd_p108"><a href="/wiki/Universit%C3%A9_du_Massachusetts_%C3%A0_Amherst" title="Université du Massachusetts à Amherst">Université du Massachusetts à Amherst</a><span class="noprint wikidata-linkback skin-invert"><span class="mw-valign-baseline noviewer" typeof="mw:File"><a href="https://www.wikidata.org/wiki/Q1680315?uselang=fr#P108" title="Voir et modifier les données sur Wikidata"><img alt="Voir et modifier les données sur Wikidata" src="//upload.wikimedia.org/wikipedia/commons/thumb/7/73/Blue_pencil.svg/10px-Blue_pencil.svg.png" decoding="async" width="10" height="10" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/73/Blue_pencil.svg/15px-Blue_pencil.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/73/Blue_pencil.svg/20px-Blue_pencil.svg.png 2x" data-file-width="600" data-file-height="600" /></a></span></span></span></div></td></tr><tr class=""><th scope="row">Directeur de thèse</th><td class=""><div> <span class="wd_p184">George Seligman <small>(<a href="https://en.wikipedia.org/wiki/George_Seligman" class="extiw" title="en:George Seligman"><span class="indicateur-langue" title="Article sur Wikipédia en anglais">en</span></a>)</small><span class="noprint wikidata-linkback skin-invert"><span class="mw-valign-baseline noviewer" typeof="mw:File"><a href="https://www.wikidata.org/wiki/Q1680315?uselang=fr#P184" title="Voir et modifier les données sur Wikidata"><img alt="Voir et modifier les données sur Wikidata" src="//upload.wikimedia.org/wikipedia/commons/thumb/7/73/Blue_pencil.svg/10px-Blue_pencil.svg.png" decoding="async" width="10" height="10" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/73/Blue_pencil.svg/15px-Blue_pencil.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/73/Blue_pencil.svg/20px-Blue_pencil.svg.png 2x" data-file-width="600" data-file-height="600" /></a></span></span></span></div></td></tr></tbody></table><p class="navbar noprint bordered navigation-not-searchable" style="border-top:1px solid #BFD7FF"><span class="plainlinks" style="text-align:left"><a class="external text" href="https://fr.wikipedia.org/w/index.php?title=James_E._Humphreys&amp;veaction=edit&amp;section=0">modifier</a> - <a class="external text" href="https://fr.wikipedia.org/w/index.php?title=James_E._Humphreys&amp;action=edit&amp;section=0">modifier le code</a> - <a href="https://www.wikidata.org/wiki/Q1680315" class="extiw" title="d:Q1680315">modifier Wikidata</a></span><span style="text-align:right"><span typeof="mw:File"><a href="/wiki/Mod%C3%A8le:Infobox_Biographie2" title="Documentation du modèle"><img alt="Documentation du modèle" src="//upload.wikimedia.org/wikipedia/commons/thumb/3/38/Info_Simple.svg/12px-Info_Simple.svg.png" decoding="async" width="12" height="12" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/38/Info_Simple.svg/18px-Info_Simple.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/38/Info_Simple.svg/24px-Info_Simple.svg.png 2x" data-file-width="512" data-file-height="512" /></a></span></span></p></div> <p><b>James Edward Humphreys</b> (né le <time class="nowrap" datetime="1939-12-10" data-sort-value="1939-12-10">10 décembre 1939</time> à <a href="/wiki/%C3%89ri%C3%A9" title="Érié">Érié</a> et mort le <time class="nowrap" datetime="2020-08-27" data-sort-value="2020-08-27">27 août 2020</time> à <a href="/w/index.php?title=Leeds_(Massachusetts)&amp;action=edit&amp;redlink=1" class="new" title="Leeds (Massachusetts) (page inexistante)">Leeds</a>&#160;<a href="https://en.wikipedia.org/wiki/Leeds,_Massachusetts" class="extiw" title="en:Leeds, Massachusetts"><span class="indicateur-langue" title="Article en anglais&#160;: «&#160;Leeds, Massachusetts&#160;»">(en)</span></a>) est un mathématicien américain spécialiste des <a href="/wiki/Groupe_alg%C3%A9brique" title="Groupe algébrique">groupes algébriques</a>, des <a href="/wiki/Groupe_de_Lie" title="Groupe de Lie">groupes de Lie</a>, des <a href="/wiki/Alg%C3%A8bre_de_Lie" title="Algèbre de Lie">algèbres de Lie</a> et des applications de ces structures. Il est connu pour être l'auteur de manuels sur ces théories, tels que <i>Introduction to Lie Algebras and Representation Theory</i><sup id="cite_ref-Humphreys1972_1-0" class="reference"><a href="#cite_note-Humphreys1972-1"><span class="cite_crochet">[</span>1<span class="cite_crochet">]</span></a></sup><sup class="reference cite_virgule">,</sup><sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite_crochet">[</span>2<span class="cite_crochet">]</span></a></sup> et <i>Reflection Groups de réflexion and Coxeter groups</i><sup id="cite_ref-Humphreys1990_3-0" class="reference"><a href="#cite_note-Humphreys1990-3"><span class="cite_crochet">[</span>3<span class="cite_crochet">]</span></a></sup>. </p><p>Quelques semaines après avoir contracté la <a href="/wiki/Maladie_%C3%A0_coronavirus_2019" title="Maladie à coronavirus 2019">COVID-19</a> pendant la <a href="/w/index.php?title=Pand%C3%A9mie_de_COVID-19_dans_le_Massachusetts&amp;action=edit&amp;redlink=1" class="new" title="Pandémie de COVID-19 dans le Massachusetts (page inexistante)">pandémie de COVID-19 dans le Massachusetts</a>&#160;<a href="https://en.wikipedia.org/wiki/COVID-19_pandemic_in_Massachusetts" class="extiw" title="en:COVID-19 pandemic in Massachusetts"><span class="indicateur-langue" title="Article en anglais&#160;: «&#160;COVID-19 pandemic in Massachusetts&#160;»">(en)</span></a>, Humphreys meurt le <time class="nowrap" datetime="2020-08-27" data-sort-value="2020-08-27">27 août 2020</time> à l'âge de quatre-vingts ans<sup id="cite_ref-4" class="reference"><a href="#cite_note-4"><span class="cite_crochet">[</span>4<span class="cite_crochet">]</span></a></sup>. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Formation">Formation</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=James_E._Humphreys&amp;veaction=edit&amp;section=1" title="Modifier la section : Formation" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=James_E._Humphreys&amp;action=edit&amp;section=1" title="Modifier le code source de la section : Formation"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Humphreys fait ses études primaires et secondaires à Érié, en <a href="/wiki/Pennsylvanie" title="Pennsylvanie">Pennsylvanie</a>, puis il étudie à l'<a href="/wiki/Oberlin_College" title="Oberlin College">Oberlin College</a> où il obtient une licence en 1961 puis, à partir de 1961, il étudie la philosophie et les mathématiques à l'<a href="/wiki/Universit%C3%A9_Cornell" title="Université Cornell">université Cornell</a>. À l'<a href="/wiki/Universit%C3%A9_Yale" title="Université Yale">université Yale</a>, il obtient une maîtrise en 1964 et soutient son doctorat en 1966 sous la direction de <a href="/w/index.php?title=George_Seligman&amp;action=edit&amp;redlink=1" class="new" title="George Seligman (page inexistante)">George Seligman</a>&#160;<a href="https://en.wikipedia.org/wiki/George_Seligman" class="extiw" title="en:George Seligman"><span class="indicateur-langue" title="Article en anglais&#160;: «&#160;George Seligman&#160;»">(en)</span></a> avec une thèse intitulée <i>Algebraic Lie algebras over fields of prime characteristic</i> («&#160;Algèbres de Lie algébriques sur les corps de caractéristique finie&#160;»)<sup id="cite_ref-5" class="reference"><a href="#cite_note-5"><span class="cite_crochet">[</span>5<span class="cite_crochet">]</span></a></sup>. </p> <div class="mw-heading mw-heading2"><h2 id="Carrière"><span id="Carri.C3.A8re"></span>Carrière</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=James_E._Humphreys&amp;veaction=edit&amp;section=2" title="Modifier la section : Carrière" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=James_E._Humphreys&amp;action=edit&amp;section=2" title="Modifier le code source de la section : Carrière"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>En 1966, il devient professeur assistant à l'<a href="/wiki/Universit%C3%A9_de_l%27Oregon" title="Université de l&#39;Oregon">université de l'Oregon</a> et en 1970, professeur associé à l'<a href="/wiki/Universit%C3%A9_de_New_York" title="Université de New York">université de New York</a>. En 1974, il est recruté comme professeur associé à l'<a href="/wiki/Universit%C3%A9_du_Massachusetts_%C3%A0_Amherst" title="Université du Massachusetts à Amherst">université du Massachusetts à Amherst</a> avant d'être promu professeur titulaire en 1976&#160;; il y prend sa retraite en 2003 comme professeur émérite. En 1968-1969 et en 1977, il est chercheur invité à l'<a href="/wiki/Institute_for_Advanced_Study" title="Institute for Advanced Study">Institute for Advanced Study</a> à <a href="/wiki/Princeton_(New_Jersey)" title="Princeton (New Jersey)">Princeton</a><sup id="cite_ref-6" class="reference"><a href="#cite_note-6"><span class="cite_crochet">[</span>6<span class="cite_crochet">]</span></a></sup> et en 1969-1970 au <a href="/wiki/Courant_Institute_of_Mathematical_Sciences" title="Courant Institute of Mathematical Sciences">Courant Institute of Mathematical Sciences</a> de l'université de New York. En 1985, il est professeur invité à l'<a href="/wiki/Universit%C3%A9_Rutgers" title="Université Rutgers">université Rutgers</a>. </p> <div class="mw-heading mw-heading2"><h2 id="Prix_et_récompenses"><span id="Prix_et_r.C3.A9compenses"></span>Prix et récompenses</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=James_E._Humphreys&amp;veaction=edit&amp;section=3" title="Modifier la section : Prix et récompenses" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=James_E._Humphreys&amp;action=edit&amp;section=3" title="Modifier le code source de la section : Prix et récompenses"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Humphreys est lauréat du <a href="/wiki/Prix_Halmos-Ford" title="Prix Halmos-Ford">prix Lester R. Ford</a> pour la publication <i>Representations of <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \operatorname {SL} (2,p)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>SL</mi> <mo>&#x2061;<!-- ⁡ --></mo> <mo stretchy="false">(</mo> <mn>2</mn> <mo>,</mo> <mi>p</mi> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \operatorname {SL} (2,p)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0bd7e15cc7e6aac551139d2a57983db07a92b544" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:7.92ex; height:2.843ex;" alt="{\displaystyle \operatorname {SL} (2,p)}"></span></i> en 1976<sup id="cite_ref-7" class="reference"><a href="#cite_note-7"><span class="cite_crochet">[</span>7<span class="cite_crochet">]</span></a></sup>. </p> <div class="mw-heading mw-heading2"><h2 id="Publications_choisies">Publications choisies</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=James_E._Humphreys&amp;veaction=edit&amp;section=4" title="Modifier la section : Publications choisies" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=James_E._Humphreys&amp;action=edit&amp;section=4" title="Modifier le code source de la section : Publications choisies"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><span class="ouvrage" id="Humphreys1980"><span class="ouvrage" id="James_E._Humphreys1980">James E. <span class="nom_auteur">Humphreys</span>, <cite class="italique">Arithmetic Groups</cite>, Springer Verlag, <abbr class="abbr" title="collection">coll.</abbr>&#160;«&#160;<a href="/wiki/Lecture_Notes_in_Mathematics" title="Lecture Notes in Mathematics">Lecture Notes in Mathematics</a>&#160;» (<abbr class="abbr" title="numéro">n<sup>o</sup></abbr>&#160;789), <time>1980</time>, x+162&#160;<abbr class="abbr" title="pages">p.</abbr> <small style="line-height:1em;">(<a href="/wiki/International_Standard_Book_Number" title="International Standard Book Number">ISBN</a>&#160;<a href="/wiki/Sp%C3%A9cial:Ouvrages_de_r%C3%A9f%C3%A9rence/978-3-540-09972-7" title="Spécial:Ouvrages de référence/978-3-540-09972-7"><span class="nowrap">978-3-540-09972-7</span></a>, <a href="/wiki/Digital_Object_Identifier" title="Digital Object Identifier">DOI</a>&#160;<span class="plainlinks noarchive nowrap"><a rel="nofollow" class="external text" href="https://dx.doi.org/10.1007/BFb0094567">10.1007/BFb0094567</a></span>)</small><span class="Z3988" title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=Arithmetic+Groups&amp;rft.pub=Springer+Verlag&amp;rft.aulast=Humphreys&amp;rft.aufirst=James+E.&amp;rft.date=1980&amp;rft.tpages=x%2B162+p.&amp;rft_id=info%3Adoi%2F10.1007%2FBFb0094567&amp;rfr_id=info%3Asid%2Ffr.wikipedia.org%3AJames+E.+Humphreys"></span></span></span><div style="margin-left:2em; line-height:1.5;">(d'après des cours donnés au Courant Institute en 1971)</div></li> <li><span class="ouvrage" id="Humphreys1995"><span class="ouvrage" id="James_E._Humphreys1995">James E. <span class="nom_auteur">Humphreys</span>, <cite class="italique">Conjugacy classes in semisimple algebraic groups</cite>, <a href="/wiki/American_Mathematical_Society" title="American Mathematical Society">American Mathematical Society</a>, <abbr class="abbr" title="collection">coll.</abbr>&#160;«&#160;Mathematical Surveys and Monographs&#160;» (<abbr class="abbr" title="numéro">n<sup>o</sup></abbr>&#160;43), <time>1995</time>, 196&#160;<abbr class="abbr" title="pages">p.</abbr> <small style="line-height:1em;">(<a href="/wiki/International_Standard_Book_Number" title="International Standard Book Number">ISBN</a>&#160;<a href="/wiki/Sp%C3%A9cial:Ouvrages_de_r%C3%A9f%C3%A9rence/978-0-8218-5276-7" title="Spécial:Ouvrages de référence/978-0-8218-5276-7"><span class="nowrap">978-0-8218-5276-7</span></a>, <a rel="nofollow" class="external text" href="https://bookstore.ams.org/surv-43-s">présentation en ligne</a>, <a rel="nofollow" class="external text" href="https://books.google.com/books/about/Conjugacy_Classes_in_Semisimple_Algebrai.html?id=m8h9iXRRaPAC">lire en ligne</a>)</small><span class="Z3988" title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=Conjugacy+classes+in+semisimple+algebraic+groups&amp;rft.pub=American+Mathematical+Society&amp;rft.aulast=Humphreys&amp;rft.aufirst=James+E.&amp;rft.date=1995&amp;rft.tpages=196&amp;rfr_id=info%3Asid%2Ffr.wikipedia.org%3AJames+E.+Humphreys"></span></span></span><sup id="cite_ref-8" class="reference"><a href="#cite_note-8"><span class="cite_crochet">[</span>8<span class="cite_crochet">]</span></a></sup></li> <li><span class="ouvrage" id="Humphreys1972"><span class="ouvrage" id="James_E._Humphreys1972">James E. <span class="nom_auteur">Humphreys</span>, <cite class="italique">Introduction to Lie Algebras and Representation Theory</cite>, Springer Verlag, <abbr class="abbr" title="collection">coll.</abbr>&#160;«&#160;<a href="/wiki/Graduate_Texts_in_Mathematics" title="Graduate Texts in Mathematics">Graduate Texts in Mathematics</a>&#160;» (<abbr class="abbr" title="numéro">n<sup>o</sup></abbr>&#160;9), <time>1972</time>, xiii+173&#160;<abbr class="abbr" title="pages">p.</abbr> <small style="line-height:1em;">(<a href="/wiki/International_Standard_Book_Number" title="International Standard Book Number">ISBN</a>&#160;<a href="/wiki/Sp%C3%A9cial:Ouvrages_de_r%C3%A9f%C3%A9rence/978-0-387-90053-7" title="Spécial:Ouvrages de référence/978-0-387-90053-7"><span class="nowrap">978-0-387-90053-7</span></a> et <a href="/wiki/Sp%C3%A9cial:Ouvrages_de_r%C3%A9f%C3%A9rence/978-0-387-90052-0" title="Spécial:Ouvrages de référence/978-0-387-90052-0"><span class="nowrap">978-0-387-90052-0</span></a>, <a href="/wiki/Digital_Object_Identifier" title="Digital Object Identifier">DOI</a>&#160;<span class="plainlinks noarchive nowrap"><a rel="nofollow" class="external text" href="https://dx.doi.org/10.1007/978-1-4612-6398-2">10.1007/978-1-4612-6398-2</a></span>, <a rel="nofollow" class="external text" href="https://books.google.com/books/about/Introduction_to_Lie_Algebras_and_Represe.html?id=mSD4DvUFa6QC">lire en ligne</a>)</small><span class="Z3988" title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=Introduction+to+Lie+Algebras+and+Representation+Theory&amp;rft.pub=Springer+Verlag&amp;rft.aulast=Humphreys&amp;rft.aufirst=James+E.&amp;rft.date=1972&amp;rft.tpages=xiii%2B173+p.&amp;rft.isbn=978-0-387-90053-7&amp;rft_id=info%3Adoi%2F10.1007%2F978-1-4612-6398-2&amp;rfr_id=info%3Asid%2Ffr.wikipedia.org%3AJames+E.+Humphreys"></span></span></span><div style="margin-left:2em; line-height:1.5;">(traduit en chinois et en russe)</div></li> <li><span class="ouvrage" id="Humphreys1998"><span class="ouvrage" id="James_E._Humphreys1998">James E. <span class="nom_auteur">Humphreys</span>, <cite class="italique">Linear Algebraic Groups</cite>, <a href="/wiki/Springer_Science%2BBusiness_Media" title="Springer Science+Business Media">Springer Verlag</a>, <abbr class="abbr" title="collection">coll.</abbr>&#160;«&#160;Graduate Texts in Mathematics&#160;» (<abbr class="abbr" title="numéro">n<sup>o</sup></abbr>&#160;21), <time>1998</time> (<abbr class="abbr" title="première">1<sup>re</sup></abbr>&#160;<abbr class="abbr" title="édition">éd.</abbr> 1974), xvi+248&#160;<abbr class="abbr" title="pages">p.</abbr> <small style="line-height:1em;">(<a href="/wiki/International_Standard_Book_Number" title="International Standard Book Number">ISBN</a>&#160;<a href="/wiki/Sp%C3%A9cial:Ouvrages_de_r%C3%A9f%C3%A9rence/978-0-387-90108-4" title="Spécial:Ouvrages de référence/978-0-387-90108-4"><span class="nowrap">978-0-387-90108-4</span></a> et <a href="/wiki/Sp%C3%A9cial:Ouvrages_de_r%C3%A9f%C3%A9rence/978-1-4684-9445-7" title="Spécial:Ouvrages de référence/978-1-4684-9445-7"><span class="nowrap">978-1-4684-9445-7</span></a>, <a href="/wiki/Digital_Object_Identifier" title="Digital Object Identifier">DOI</a>&#160;<span class="plainlinks noarchive nowrap"><a rel="nofollow" class="external text" href="https://dx.doi.org/10.1007/978-1-4684-9443-3">10.1007/978-1-4684-9443-3</a></span>, <a href="/wiki/Mathematical_Reviews" title="Mathematical Reviews">MR</a>&#160;<span class="plainlinks noarchive nowrap"><a rel="nofollow" class="external text" href="https://www.ams.org/mathscinet-getitem?mr=0396773">0396773</a></span>)</small><span class="Z3988" title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=Linear+Algebraic+Groups&amp;rft.pub=Springer+Verlag&amp;rft.aulast=Humphreys&amp;rft.aufirst=James+E.&amp;rft.date=1998&amp;rft.tpages=xvi%2B248+p.&amp;rft_id=info%3Adoi%2F10.1007%2F978-1-4684-9443-3&amp;rfr_id=info%3Asid%2Ffr.wikipedia.org%3AJames+E.+Humphreys"></span></span></span><div style="margin-left:2em; line-height:1.5;">(traduit en russe)</div></li> <li><span class="ouvrage" id="Humphreys1976"><span class="ouvrage" id="James_E._Humphreys1976">James E. <span class="nom_auteur">Humphreys</span>, <cite class="italique">Ordinary and modular representations of Chevalley groups</cite>, Springer Verlag, <abbr class="abbr" title="collection">coll.</abbr>&#160;«&#160;Lecture Notes in Mathematics&#160;» (<abbr class="abbr" title="numéro">n<sup>o</sup></abbr>&#160;528), <time>1976</time>, iii+131&#160;<abbr class="abbr" title="pages">p.</abbr> <small style="line-height:1em;">(<a href="/wiki/International_Standard_Book_Number" title="International Standard Book Number">ISBN</a>&#160;<a href="/wiki/Sp%C3%A9cial:Ouvrages_de_r%C3%A9f%C3%A9rence/978-3-540-07796-1" title="Spécial:Ouvrages de référence/978-3-540-07796-1"><span class="nowrap">978-3-540-07796-1</span></a>, <a href="/wiki/Digital_Object_Identifier" title="Digital Object Identifier">DOI</a>&#160;<span class="plainlinks noarchive nowrap"><a rel="nofollow" class="external text" href="https://dx.doi.org/10.1007/BFb0079105">10.1007/BFb0079105</a></span>, <a href="/wiki/Mathematical_Reviews" title="Mathematical Reviews">MR</a>&#160;<span class="plainlinks noarchive nowrap"><a rel="nofollow" class="external text" href="https://www.ams.org/mathscinet-getitem?mr=0453884">0453884</a></span>)</small><span class="Z3988" title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=Ordinary+and+modular+representations+of+Chevalley+groups&amp;rft.pub=Springer+Verlag&amp;rft.aulast=Humphreys&amp;rft.aufirst=James+E.&amp;rft.date=1976&amp;rft.tpages=iii%2B131+p.&amp;rft_id=info%3Adoi%2F10.1007%2FBFb0079105&amp;rfr_id=info%3Asid%2Ffr.wikipedia.org%3AJames+E.+Humphreys"></span></span></span></li> <li><span class="ouvrage" id="Humphreys2005"><span class="ouvrage" id="James_E._Humphreys2005">James E. <span class="nom_auteur">Humphreys</span>, <cite class="italique">Modular representations of finite groups of Lie type</cite>, <a href="/wiki/Cambridge_University_Press" title="Cambridge University Press">Cambridge University Press</a>, <abbr class="abbr" title="collection">coll.</abbr>&#160;«&#160;London Mathematical Society Lecture Note Series&#160;» (<abbr class="abbr" title="numéro">n<sup>o</sup></abbr>&#160;326), <time>2005</time>, xvi+233&#160;<abbr class="abbr" title="pages">p.</abbr> <small style="line-height:1em;">(<a href="/wiki/International_Standard_Book_Number" title="International Standard Book Number">ISBN</a>&#160;<a href="/wiki/Sp%C3%A9cial:Ouvrages_de_r%C3%A9f%C3%A9rence/9780511525940" title="Spécial:Ouvrages de référence/9780511525940"><span class="nowrap">9780511525940</span></a>, <a href="/wiki/Digital_Object_Identifier" title="Digital Object Identifier">DOI</a>&#160;<span class="plainlinks noarchive nowrap"><a rel="nofollow" class="external text" href="https://dx.doi.org/10.1017/CBO9780511525940">10.1017/CBO9780511525940</a></span>)</small><span class="Z3988" title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=Modular+representations+of+finite+groups+of+Lie+type&amp;rft.pub=Cambridge+University+Press&amp;rft.aulast=Humphreys&amp;rft.aufirst=James+E.&amp;rft.date=2005&amp;rft.tpages=xvi%2B233+p.&amp;rft_id=info%3Adoi%2F10.1017%2FCBO9780511525940&amp;rfr_id=info%3Asid%2Ffr.wikipedia.org%3AJames+E.+Humphreys"></span></span></span><sup id="cite_ref-9" class="reference"><a href="#cite_note-9"><span class="cite_crochet">[</span>9<span class="cite_crochet">]</span></a></sup></li> <li><span class="ouvrage" id="Humphreys1990"><span class="ouvrage" id="James_E._Humphreys1990">James E. <span class="nom_auteur">Humphreys</span>, <cite class="italique">Reflection Groups and Coxeter Groups</cite>, <a href="/wiki/Cambridge_University_Press" title="Cambridge University Press">Cambridge University Press</a>, <abbr class="abbr" title="collection">coll.</abbr>&#160;«&#160;Cambridge Studies in Advanced Mathematics&#160;» (<abbr class="abbr" title="numéro">n<sup>o</sup></abbr>&#160;29), <time>1990</time>, xii+204&#160;<abbr class="abbr" title="pages">p.</abbr> <small style="line-height:1em;">(<a href="/wiki/International_Standard_Book_Number" title="International Standard Book Number">ISBN</a>&#160;<a href="/wiki/Sp%C3%A9cial:Ouvrages_de_r%C3%A9f%C3%A9rence/9780511623646" title="Spécial:Ouvrages de référence/9780511623646"><span class="nowrap">9780511623646</span></a>, <a href="/wiki/Digital_Object_Identifier" title="Digital Object Identifier">DOI</a>&#160;<span class="plainlinks noarchive nowrap"><a rel="nofollow" class="external text" href="https://dx.doi.org/10.1017/CBO9780511623646">10.1017/CBO9780511623646</a></span>, <a href="/wiki/Mathematical_Reviews" title="Mathematical Reviews">MR</a>&#160;<span class="plainlinks noarchive nowrap"><a rel="nofollow" class="external text" href="https://www.ams.org/mathscinet-getitem?mr=1066460">1066460</a></span>, <a rel="nofollow" class="external text" href="https://books.google.com/books/about/Reflection_Groups_and_Coxeter_Groups.html?id=ODfjmOeNLMUC">lire en ligne</a>)</small><span class="Z3988" title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=Reflection+Groups+and+Coxeter+Groups&amp;rft.pub=Cambridge+University+Press&amp;rft.aulast=Humphreys&amp;rft.aufirst=James+E.&amp;rft.date=1990&amp;rft.tpages=xii%2B204+p.&amp;rft_id=info%3Adoi%2F10.1017%2FCBO9780511623646&amp;rfr_id=info%3Asid%2Ffr.wikipedia.org%3AJames+E.+Humphreys"></span></span></span></li> <li><span class="ouvrage" id="Humphreys2008"><span class="ouvrage" id="James_E._Humphreys2008">James E. <span class="nom_auteur">Humphreys</span>, <cite class="italique">Representations of semisimple Lie algebras in the BGG category <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\mathcal {O}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi class="MJX-tex-caligraphic" mathvariant="script">O</mi> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\mathcal {O}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d6ae2ed4058fb748a183d9ada8aea50a00d0c89f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.85ex; height:2.176ex;" alt="{\displaystyle {\mathcal {O}}}"></span></cite>, American Mathematical Society, <abbr class="abbr" title="collection">coll.</abbr>&#160;«&#160;Graduate Studies in Mathematics&#160;» (<abbr class="abbr" title="numéro">n<sup>o</sup></abbr>&#160;94), <time>2008</time>, 289&#160;<abbr class="abbr" title="pages">p.</abbr> <small style="line-height:1em;">(<a rel="nofollow" class="external text" href="https://books.google.com/books/about/Representations_of_Semisimple_Lie_Algebr.html?id=8GCP4Ng6risC">lire en ligne</a>)</small><span class="Z3988" title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=Representations+of+semisimple+Lie+algebras+in+the+BGG+category+%7F%27%22%60UNIQ--math-0000001E-QINU%60%22%27%7F&amp;rft.pub=American+Mathematical+Society&amp;rft.aulast=Humphreys&amp;rft.aufirst=James+E.&amp;rft.date=2008&amp;rft.tpages=289&amp;rfr_id=info%3Asid%2Ffr.wikipedia.org%3AJames+E.+Humphreys"></span></span></span><sup id="cite_ref-10" class="reference"><a href="#cite_note-10"><span class="cite_crochet">[</span>10<span class="cite_crochet">]</span></a></sup></li> <li><span class="ouvrage" id="Humphreys1998"><span class="ouvrage" id="James_E._Humphreys1998">James E. <span class="nom_auteur">Humphreys</span>, «&#160;<cite style="font-style:normal">Modular representations of simple Lie algebras</cite>&#160;», <i>Bull. Amer. Math. Soc. (N.S.)</i>, <abbr class="abbr" title="volume">vol.</abbr>&#160;35,&#8206; <time>1998</time>, <abbr class="abbr" title="pages">p.</abbr>&#160;<span class="nowrap">105-122</span> <small style="line-height:1em;">(<a href="/wiki/Digital_Object_Identifier" title="Digital Object Identifier">DOI</a>&#160;<span class="plainlinks noarchive nowrap"><a rel="nofollow" class="external text" href="https://dx.doi.org/10.1090/S0273-0979-98-00749-6">10.1090/S0273-0979-98-00749-6</a></span>)</small><span class="Z3988" title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.atitle=Modular+representations+of+simple+Lie+algebras&amp;rft.jtitle=Bull.+Amer.+Math.+Soc.+%28N.S.%29&amp;rft.aulast=Humphreys&amp;rft.aufirst=James+E.&amp;rft.date=1998&amp;rft.volume=35&amp;rft.pages=105-122&amp;rft_id=info%3Adoi%2F10.1090%2FS0273-0979-98-00749-6&amp;rfr_id=info%3Asid%2Ffr.wikipedia.org%3AJames+E.+Humphreys"></span></span></span></li> <li><span class="ouvrage" id="Humphreys1970"><span class="ouvrage" id="James_E._Humphreys1970">James E. <span class="nom_auteur">Humphreys</span>, «&#160;<cite style="font-style:normal">Modular representations of classical Lie algebras</cite>&#160;», <i>Bull. Amer. Math. Soc.</i>, <abbr class="abbr" title="volume">vol.</abbr>&#160;76,&#8206; <time>1970</time>, <abbr class="abbr" title="pages">p.</abbr>&#160;<span class="nowrap">878-882</span> <small style="line-height:1em;">(<a href="/wiki/Digital_Object_Identifier" title="Digital Object Identifier">DOI</a>&#160;<span class="plainlinks noarchive nowrap"><a rel="nofollow" class="external text" href="https://dx.doi.org/10.1090/S0002-9904-1970-12594-0">10.1090/S0002-9904-1970-12594-0</a></span>)</small><span class="Z3988" title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.atitle=Modular+representations+of+classical+Lie+algebras&amp;rft.jtitle=Bull.+Amer.+Math.+Soc.&amp;rft.aulast=Humphreys&amp;rft.aufirst=James+E.&amp;rft.date=1970&amp;rft.volume=76&amp;rft.pages=878-882&amp;rft_id=info%3Adoi%2F10.1090%2FS0002-9904-1970-12594-0&amp;rfr_id=info%3Asid%2Ffr.wikipedia.org%3AJames+E.+Humphreys"></span></span></span></li> <li><span class="ouvrage" id="Humphreys1967"><span class="ouvrage" id="James_E._Humphreys1967">James E. <span class="nom_auteur">Humphreys</span>, <cite class="italique">Algebraic groups and modular Lie algebras</cite>, American Mathematical Society, <abbr class="abbr" title="collection">coll.</abbr>&#160;«&#160;Memoirs of the AMS&#160;» (<abbr class="abbr" title="numéro">n<sup>o</sup></abbr>&#160;71), <time>1967</time> <small style="line-height:1em;">(<a href="/wiki/International_Standard_Book_Number" title="International Standard Book Number">ISBN</a>&#160;<a href="/wiki/Sp%C3%A9cial:Ouvrages_de_r%C3%A9f%C3%A9rence/978-1-4704-0019-4" title="Spécial:Ouvrages de référence/978-1-4704-0019-4"><span class="nowrap">978-1-4704-0019-4</span></a>, <a rel="nofollow" class="external text" href="https://bookstore.ams.org/memo-1-71/">présentation en ligne</a>)</small><span class="Z3988" title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=Algebraic+groups+and+modular+Lie+algebras&amp;rft.pub=American+Mathematical+Society&amp;rft.aulast=Humphreys&amp;rft.aufirst=James+E.&amp;rft.date=1967&amp;rfr_id=info%3Asid%2Ffr.wikipedia.org%3AJames+E.+Humphreys"></span></span></span></li> <li><span class="ouvrage" id="Humphreys1978"><span class="ouvrage" id="James_E._Humphreys1978">James E. <span class="nom_auteur">Humphreys</span>, «&#160;<cite style="font-style:normal">Hilbert's fourteenth problem</cite>&#160;», <i><a href="/wiki/American_Mathematical_Monthly" class="mw-redirect" title="American Mathematical Monthly">American Mathematical Monthly</a></i>, <abbr class="abbr" title="volume">vol.</abbr>&#160;85,&#8206; <time>1978</time>, <abbr class="abbr" title="pages">p.</abbr>&#160;<span class="nowrap">341-353</span> <small style="line-height:1em;">(<a href="/wiki/Digital_Object_Identifier" title="Digital Object Identifier">DOI</a>&#160;<span class="plainlinks noarchive nowrap"><a rel="nofollow" class="external text" href="https://dx.doi.org/10.1080/00029890.1978.11994590">10.1080/00029890.1978.11994590</a></span>)</small><span class="Z3988" title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.atitle=Hilbert%27s+fourteenth+problem&amp;rft.jtitle=American+Mathematical+Monthly&amp;rft.aulast=Humphreys&amp;rft.aufirst=James+E.&amp;rft.date=1978&amp;rft.volume=85&amp;rft.pages=341-353&amp;rft_id=info%3Adoi%2F10.1080%2F00029890.1978.11994590&amp;rfr_id=info%3Asid%2Ffr.wikipedia.org%3AJames+E.+Humphreys"></span></span></span></li> <li><span class="ouvrage" id="Humphreys1975"><span class="ouvrage" id="James_E._Humphreys1975">James E. <span class="nom_auteur">Humphreys</span>, «&#160;<cite style="font-style:normal">Representations of <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \operatorname {SL} (2,p)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>SL</mi> <mo>&#x2061;<!-- ⁡ --></mo> <mo stretchy="false">(</mo> <mn>2</mn> <mo>,</mo> <mi>p</mi> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \operatorname {SL} (2,p)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0bd7e15cc7e6aac551139d2a57983db07a92b544" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:7.92ex; height:2.843ex;" alt="{\displaystyle \operatorname {SL} (2,p)}"></span></cite>&#160;», <i>Amer. Math. Monthly</i>, <abbr class="abbr" title="volume">vol.</abbr>&#160;82,&#8206; <time>1975</time>, <abbr class="abbr" title="pages">p.</abbr>&#160;<span class="nowrap">21-39</span> <small style="line-height:1em;">(<a href="/wiki/Digital_Object_Identifier" title="Digital Object Identifier">DOI</a>&#160;<span class="plainlinks noarchive nowrap"><a rel="nofollow" class="external text" href="https://dx.doi.org/10.1080/00029890.1975.11993765">10.1080/00029890.1975.11993765</a></span>, <a rel="nofollow" class="external text" href="https://maa.org/sites/default/files/pdf/upload_library/22/Ford/Humphreys.pdf">lire en ligne</a>)</small><span class="Z3988" title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.atitle=Representations+of+%7F%27%22%60UNIQ--math-00000022-QINU%60%22%27%7F&amp;rft.jtitle=Amer.+Math.+Monthly&amp;rft.aulast=Humphreys&amp;rft.aufirst=James+E.&amp;rft.date=1975&amp;rft.volume=82&amp;rft.pages=21-39&amp;rft_id=info%3Adoi%2F10.1080%2F00029890.1975.11993765&amp;rfr_id=info%3Asid%2Ffr.wikipedia.org%3AJames+E.+Humphreys"></span></span></span></li> <li><span class="ouvrage" id="Humphreys1980"><span class="ouvrage" id="James_E._Humphreys1980">James E. <span class="nom_auteur">Humphreys</span>, <cite style="font-style:normal">«&#160;Highest weight modules for semisimple Lie algebras&#160;»</cite>, dans Vlastimil Dlab et Peter Gabriel, <cite class="italique">Representation Theory I: Proceedings of the Workshop on the Present Trends in Representation Theory, Ottawa, Carleton University, August 13-18, 1979</cite>, Springer Verlag, <abbr class="abbr" title="collection">coll.</abbr>&#160;«&#160;Lecture Notes in Mathematics&#160;» (<abbr class="abbr" title="numéro">n<sup>o</sup></abbr>&#160;831), <time class="nowrap" datetime="1980-10-01" data-sort-value="1980-10-01"><abbr class="abbr" title="premier">1<sup>er</sup></abbr> octobre 1980</time> <small style="line-height:1em;">(<a href="/wiki/International_Standard_Book_Number" title="International Standard Book Number">ISBN</a>&#160;<a href="/wiki/Sp%C3%A9cial:Ouvrages_de_r%C3%A9f%C3%A9rence/978-3-540-10263-2" title="Spécial:Ouvrages de référence/978-3-540-10263-2"><span class="nowrap">978-3-540-10263-2</span></a>, <a href="/wiki/Digital_Object_Identifier" title="Digital Object Identifier">DOI</a>&#160;<span class="plainlinks noarchive nowrap"><a rel="nofollow" class="external text" href="https://dx.doi.org/10.1007/BFb0089779">10.1007/BFb0089779</a></span>)</small>, <abbr class="abbr" title="pages">p.</abbr>&#160;<span class="nowrap">72-103</span><span class="Z3988" title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=bookitem&amp;rft.btitle=Representation+Theory+I%3A+Proceedings+of+the+Workshop+on+the+Present+Trends+in+Representation+Theory%2C+Ottawa%2C+Carleton+University%2C+August+13-18%2C+1979&amp;rft.atitle=Highest+weight+modules+for+semisimple+Lie+algebras&amp;rft.pub=Springer+Verlag&amp;rft.aulast=Humphreys&amp;rft.aufirst=James+E.&amp;rft.date=1980-10-01&amp;rft.pages=72-103&amp;rft_id=info%3Adoi%2F10.1007%2FBFb0089779&amp;rfr_id=info%3Asid%2Ffr.wikipedia.org%3AJames+E.+Humphreys"></span></span></span></li></ul> <div class="mw-heading mw-heading2"><h2 id="Notes_et_références"><span id="Notes_et_r.C3.A9f.C3.A9rences"></span>Notes et références</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=James_E._Humphreys&amp;veaction=edit&amp;section=5" title="Modifier la section : Notes et références" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=James_E._Humphreys&amp;action=edit&amp;section=5" title="Modifier le code source de la section : Notes et références"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><abbr class="abbr indicateur-langue" title="Langue : anglais">(en)</abbr> Cet article est partiellement ou en totalité issu de l’article de Wikipédia en anglais intitulé <span class="plainlinks">«&#160;<a class="external text" href="https://en.wikipedia.org/wiki/James_E._Humphreys?oldid=1173884765">James E. Humphreys</a>&#160;» <small>(<a class="external text" href="https://en.wikipedia.org/wiki/James_E._Humphreys?action=history">voir la liste des auteurs</a>)</small></span>.</li></ul> <div class="references-small decimal" style=""><div class="mw-references-wrap"><ol class="references"> <li id="cite_note-Humphreys1972-1"><span class="mw-cite-backlink noprint"><a href="#cite_ref-Humphreys1972_1-0">↑</a> </span><span class="reference-text"><a href="#Humphreys1972">Humphreys 1972</a>. </span> </li> <li id="cite_note-2"><span class="mw-cite-backlink noprint"><a href="#cite_ref-2">↑</a> </span><span class="reference-text"><span class="ouvrage" id="2012">«&#160;<a rel="nofollow" class="external text" href="http://www.maa.org/publications/maa-reviews/introduction-to-lie-algebras-and-representation-theory"><cite style="font-style:normal;">Review: Introduction to Lie Algebras and Representation Theory</cite></a>&#160;», sur <span class="italique">MAA Reviews</span>, <time class="nowrap" datetime="2012-12-31" data-sort-value="2012-12-31">31 décembre 2012</time></span>.</span> </li> <li id="cite_note-Humphreys1990-3"><span class="mw-cite-backlink noprint"><a href="#cite_ref-Humphreys1990_3-0">↑</a> </span><span class="reference-text"><a href="#Humphreys1990">Humphreys 1990</a>. </span> </li> <li id="cite_note-4"><span class="mw-cite-backlink noprint"><a href="#cite_ref-4">↑</a> </span><span class="reference-text"><span class="ouvrage" id="2020">«&#160;<a rel="nofollow" class="external text" href="https://www.legacy.com/obituaries/erietimesnews/obituary.aspx?n=james-e-humphreys&amp;pid=196925399"><cite style="font-style:normal;">James E. Humphreys (obituary)</cite></a>&#160;», sur <span class="italique">Erie Times-News via legacy.com</span>, <time class="nowrap" datetime="2020-10-10" data-sort-value="2020-10-10">10 octobre 2020</time> <small style="line-height:1em;">(consulté le <time class="nowrap" datetime="2020-11-12" data-sort-value="2020-11-12">12 novembre 2020</time>)</small></span>.</span> </li> <li id="cite_note-5"><span class="mw-cite-backlink noprint"><a href="#cite_ref-5">↑</a> </span><span class="reference-text"><span class="ouvrage"><abbr class="abbr indicateur-langue" title="Langue : anglais">(en)</abbr> «&#160;<a rel="nofollow" class="external text" href="https://www.genealogy.math.ndsu.nodak.edu/id.php?id=26472"><cite style="font-style:normal;" lang="en">James Edward Humphreys</cite></a>&#160;», sur <span class="italique"><i>le site du</i> <span class="lang-en" lang="en"><a href="/wiki/Mathematics_Genealogy_Project" title="Mathematics Genealogy Project">Mathematics Genealogy Project</a></span></span></span>.</span> </li> <li id="cite_note-6"><span class="mw-cite-backlink noprint"><a href="#cite_ref-6">↑</a> </span><span class="reference-text"><span class="ouvrage">«&#160;<a rel="nofollow" class="external text" href="https://www.ias.edu/people/cos/users/4762"><cite style="font-style:normal;">Humphreys, James E.</cite></a>&#160;», <span class="italique">ias.edu</span> <small style="line-height:1em;">(consulté le <time class="nowrap" datetime="2015-01-28" data-sort-value="2015-01-28">28 janvier 2015</time>)</small></span></span> </li> <li id="cite_note-7"><span class="mw-cite-backlink noprint"><a href="#cite_ref-7">↑</a> </span><span class="reference-text"><span class="ouvrage">«&#160;<a rel="nofollow" class="external text" href="http://www.maa.org/programs/maa-awards/writing-awards/representations-of-sl-2p"><cite style="font-style:normal;">Representations of <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \operatorname {SL} (2,p)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>SL</mi> <mo>&#x2061;<!-- ⁡ --></mo> <mo stretchy="false">(</mo> <mn>2</mn> <mo>,</mo> <mi>p</mi> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \operatorname {SL} (2,p)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0bd7e15cc7e6aac551139d2a57983db07a92b544" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:7.92ex; height:2.843ex;" alt="{\displaystyle \operatorname {SL} (2,p)}"></span></cite></a>&#160;», <span class="italique">maa.org</span>, <a href="/wiki/Mathematical_Association_of_America" title="Mathematical Association of America">Mathematical Association of America</a> <small style="line-height:1em;">(consulté le <time class="nowrap" datetime="2015-01-28" data-sort-value="2015-01-28">28 janvier 2015</time>)</small></span></span> </li> <li id="cite_note-8"><span class="mw-cite-backlink noprint"><a href="#cite_ref-8">↑</a> </span><span class="reference-text"><span class="ouvrage" id="Procesi1997"><span class="ouvrage" id="Claudio_Procesi1997"><a href="/wiki/Claudio_Procesi" title="Claudio Procesi">Claudio <span class="nom_auteur">Procesi</span></a>, «&#160;<cite style="font-style:normal">Review: <i>Conjugacy classes in semisimple algebraic groups</i>, by James E. Humphreys</cite>&#160;», <i><a href="/wiki/Bulletin_of_the_American_Mathematical_Society" title="Bulletin of the American Mathematical Society">Bulletin of the American Mathematical Society</a></i>, <abbr class="abbr" title="volume">vol.</abbr>&#160;34, <abbr class="abbr" title="numéro">n<sup>o</sup></abbr>&#160;1,&#8206; <time>1997</time>, <abbr class="abbr" title="pages">p.</abbr>&#160;<span class="nowrap">55-56</span> <small style="line-height:1em;">(<a href="/wiki/Digital_Object_Identifier" title="Digital Object Identifier">DOI</a>&#160;<span class="plainlinks noarchive nowrap"><a rel="nofollow" class="external text" href="https://dx.doi.org/10.1090/s0273-0979-97-00689-7">10.1090/s0273-0979-97-00689-7</a></span> <span typeof="mw:File"><span title="Accès libre au document"><img alt="Accès libre" 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>, <a href="/wiki/Mathematical_Reviews" title="Mathematical Reviews">MR</a>&#160;<span class="plainlinks noarchive nowrap"><a rel="nofollow" class="external text" href="https://www.ams.org/mathscinet-getitem?mr=1343976">1343976</a></span>, <a rel="nofollow" class="external text" href="https://www.ams.org/journals/bull/1997-34-01/S0273-0979-97-00689-7/S0273-0979-97-00689-7.pdf">lire en ligne</a>)</small><span class="Z3988" title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.atitle=Review%3A+%27%27Conjugacy+classes+in+semisimple+algebraic+groups%27%27%2C+by+James+E.+Humphreys&amp;rft.jtitle=Bulletin+of+the+American+Mathematical+Society&amp;rft.issue=1&amp;rft.aulast=Procesi&amp;rft.aufirst=Claudio&amp;rft.date=1997&amp;rft.volume=34&amp;rft.pages=55-56&amp;rft_id=info%3Adoi%2F10.1090%2Fs0273-0979-97-00689-7&amp;rfr_id=info%3Asid%2Ffr.wikipedia.org%3AJames+E.+Humphreys"></span></span></span>.</span> </li> <li id="cite_note-9"><span class="mw-cite-backlink noprint"><a href="#cite_ref-9">↑</a> </span><span class="reference-text"><span class="ouvrage" id="Benson2007"><span class="ouvrage" id="Dave_Benson2007">Dave <span class="nom_auteur">Benson</span>, «&#160;<cite style="font-style:normal">Review: <i>Modular representations of finite groups of Lie type</i>, by James E. Humphreys</cite>&#160;», <i>SIAM Review</i>, <abbr class="abbr" title="volume">vol.</abbr>&#160;49, <abbr class="abbr" title="numéro">n<sup>o</sup></abbr>&#160;1,&#8206; <time>2007</time>, <abbr class="abbr" title="pages">p.</abbr>&#160;<span class="nowrap">129-131</span> <small style="line-height:1em;">(<a href="/wiki/Digital_Object_Identifier" title="Digital Object Identifier">DOI</a>&#160;<span class="plainlinks noarchive nowrap"><a rel="nofollow" class="external text" href="https://dx.doi.org/10.1137/SIREAD000049000001000123000001">10.1137/SIREAD000049000001000123000001</a></span>, <a href="/wiki/JSTOR" title="JSTOR">JSTOR</a>&#160;<span class="plainlinks noarchive nowrap"><a rel="nofollow" class="external text" href="https://jstor.org/stable/20453917">20453917</a></span>)</small><span class="Z3988" title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.atitle=Review%3A+%27%27Modular+representations+of+finite+groups+of+Lie+type%27%27%2C+by+James+E.+Humphreys&amp;rft.jtitle=SIAM+Review&amp;rft.issue=1&amp;rft.aulast=Benson&amp;rft.aufirst=Dave&amp;rft.date=2007&amp;rft.volume=49&amp;rft.pages=129-131&amp;rft_id=info%3Adoi%2F10.1137%2FSIREAD000049000001000123000001&amp;rfr_id=info%3Asid%2Ffr.wikipedia.org%3AJames+E.+Humphreys"></span></span></span>.</span> </li> <li id="cite_note-10"><span class="mw-cite-backlink noprint"><a href="#cite_ref-10">↑</a> </span><span class="reference-text"><span class="ouvrage" id="Soergel2010"><span class="ouvrage" id="Wolfgang_Soergel2010"><a href="/wiki/Wolfgang_Soergel" title="Wolfgang Soergel">Wolfgang Soergel</a>, «&#160;<cite style="font-style:normal">Review: <i>Representations of semisimple Lie algebras in the BGG category <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\mathcal {O}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi class="MJX-tex-caligraphic" mathvariant="script">O</mi> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\mathcal {O}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d6ae2ed4058fb748a183d9ada8aea50a00d0c89f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.85ex; height:2.176ex;" alt="{\displaystyle {\mathcal {O}}}"></span></i>, by James E. Humphreys</cite>&#160;», <i>Bull. Amer. Math. Soc. (N.S.)</i>, <abbr class="abbr" title="volume">vol.</abbr>&#160;47, <abbr class="abbr" title="numéro">n<sup>o</sup></abbr>&#160;2,&#8206; <time>2010</time>, <abbr class="abbr" title="pages">p.</abbr>&#160;<span class="nowrap">367-371</span> <small style="line-height:1em;">(<a href="/wiki/Digital_Object_Identifier" title="Digital Object Identifier">DOI</a>&#160;<span class="plainlinks noarchive nowrap"><a rel="nofollow" class="external text" href="https://dx.doi.org/10.1090/s0273-0979-09-01266-X">10.1090/s0273-0979-09-01266-X</a></span> <span typeof="mw:File"><span title="Accès libre au document"><img alt="Accès libre" 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" 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