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0.43 setcmykcolor}DC/NavyBlue{0.94 0.54 0 0 setcmykcolor}DC/RoyalBlue{1 0.50 0 0 setcmykcolor}DC/Blue{1 1 0 0 setcmykcolor}DC/Cerulean{0.94 0.11 0 0 setcmykcolor}DC/Cyan{1 0 0 0 setcmykcolor}DC/ProcessBlue{0.96 0 0 0 setcmykcolor}DC/SkyBlue{0.62 0 0.12 0 setcmykcolor}DC/Turquoise{0.85 0 0.20 0 setcmykcolor}DC/TealBlue{0.86 0 0.34 0.02 setcmykcolor}DC /Aquamarine{0.82 0 0.30 0 setcmykcolor}DC/BlueGreen{0.85 0 0.33 0 setcmykcolor}DC/Emerald{1 0 0.50 0 setcmykcolor}DC/JungleGreen{0.99 0 0.52 0 setcmykcolor}DC/SeaGreen{0.69 0 0.50 0 setcmykcolor}DC/Green{1 0 1 0 setcmykcolor}DC/ForestGreen{0.91 0 0.88 0.12 setcmykcolor}DC /PineGreen{0.92 0 0.59 0.25 setcmykcolor}DC/LimeGreen{0.50 0 1 0 setcmykcolor}DC/YellowGreen{0.44 0 0.74 0 setcmykcolor}DC/SpringGreen{ 0.26 0 0.76 0 setcmykcolor}DC/OliveGreen{0.64 0 0.95 0.40 setcmykcolor} DC/RawSienna{0 0.72 1 0.45 setcmykcolor}DC/Sepia{0 0.83 1 0.70 setcmykcolor}DC/Brown{0 0.81 1 0.60 setcmykcolor}DC/Tan{0.14 0.42 0.56 0 setcmykcolor}DC/Gray{0 0 0 0.50 setcmykcolor}DC/Black{0 0 0 1 setcmykcolor}DC/White{0 0 0 0 setcmykcolor}DC end %%EndProcSet %%BeginProcSet: hps.pro 0 0 %! /HPSdict 20 dict dup begin/braindeaddistill 50 def/rfch{dup length 1 sub 1 exch getinterval}bind def/splituri{dup(#)search{exch pop}{()exch} ifelse dup(file:)anchorsearch{pop exch pop 3 -1 roll pop false}{pop 3 -1 roll exch pop true}ifelse}bind def/lookuptarget{exch rfch dup /TargetAnchors where{pop TargetAnchors dup 3 -1 roll known{exch get true }{pop(target unknown:)print == false}ifelse}{pop pop (target dictionary unknown\012)print false}ifelse}bind def/savecount 0 def/stackstopped{count counttomark sub/savecount exch store stopped count savecount sub 1 sub dup 0 gt{{exch pop}repeat}{pop}ifelse}bind def /tempstring 128 string def/targetvalidate{1 index dup length 127 gt exch tempstring cvs dup(/)search{pop pop pop exch pop true exch}{pop}ifelse token{pop length 0 ne}{true}ifelse or not}bind def/targetdump-hook where {pop}{/targetdump-hook{dup mark exch gsave initmat setmatrix{{mark/Dest 4 2 roll targetvalidate{aload pop exch pop/Page 3 1 roll/View exch[exch /FitH exch]/DEST pdfmark}{cleartomark}ifelse}forall}stackstopped pop grestore}bind def}ifelse/baseurl{mark exch 1 dict dup 3 -1 roll/Base exch put/URI exch/DOCVIEW{pdfmark}stackstopped pop}bind def /externalhack systemdict/PDF known def/oldstyle true def/initmat matrix currentmatrix def/actiondict 2 dict dup/Subtype/URI put def /weblinkhandler{dup 3 1 roll mark 4 1 roll/Title 4 1 roll splituri 3 -1 roll dup length 0 gt{cvn/Dest exch 4 2 roll}{pop}ifelse{externalhack{ /HTTPFile exch}{actiondict dup 3 -1 roll/URI exch put/Action exch} ifelse}{externalhack{/HTTPFile exch}{/File exch/Action/GoToR}ifelse} ifelse counttomark 2 sub -1 roll aload pop/Rect 4 1 roll/Border 3 1 roll /Color exch oldstyle{/LNK}{/Subtype/Link/ANN}ifelse gsave initmat setmatrix{pdfmark}stackstopped grestore}bind def/externalhandler where{ pop}{/externalhandler{2 copy{weblinkhandler}exec{/externalhack externalhack not store 2 copy{weblinkhandler}exec{/externalhack externalhack not store/oldstyle false store 2 copy{weblinkhandler}exec{ (WARNING: external refs disabled\012)print/externalhandler{pop pop}bind store externalhandler}{pop pop}ifelse}{pop pop/externalhack externalhack not store}ifelse}{pop pop/externalhandler{weblinkhandler pop}bind store} ifelse}bind def}ifelse/pdfmnew{dup type/stringtype eq{externalhandler}{ exch dup rfch exch 3 -1 roll lookuptarget{mark 4 1 roll/Title 4 1 roll aload pop exch pop/Page 3 1 roll/View exch[exch/FitH exch]5 -1 roll aload pop/Rect 4 1 roll/Border 3 1 roll/Color exch/LNK gsave initmat setmatrix pdfmark grestore}{pop pop}ifelse}ifelse}bind def/pdfmold{dup type/stringtype eq{externalhandler}{exch dup rfch exch 3 -1 roll lookuptarget{mark 4 1 roll/Title 4 1 roll aload pop exch pop/Page 3 1 roll/View exch[exch/FitH exch]5 -1 roll aload pop pop 0 3 getinterval /Rect 3 1 roll/Border exch/LNK gsave initmat setmatrix pdfmark grestore} {pop pop}ifelse}ifelse}bind def/pdfm where{pop}{/pdfm /currentdistillerparams where{pop currentdistillerparams dup /CoreDistVersion known{/CoreDistVersion get}{0}ifelse dup braindeaddistill le{(WARNING: switching to old pdfm because version =) print ==/pdfmold}{pop/pdfmnew}ifelse load}{/pdfmark where{pop{dup type /stringtype eq{externalhandler}{2 copy mark 3 1 roll{pdfmnew} stackstopped{2 copy mark 3 1 roll{pdfmold}stackstopped{ (WARNING: pdfm disabled\012)print/pdfm{pop pop}store}{ (WARNING: new pdfm failed, switching to old pdfm\012)print/pdfm/pdfmold load store}ifelse}{/pdfm/pdfmnew load store}ifelse pop pop}ifelse}}{{ pop pop}}ifelse}ifelse bind def}ifelse end def %%EndProcSet TeXDict begin @defspecial /pgfHrgb{/pgfheight exch def 0.75 setlinewidth [] 0 setdash /pgfshade {pgfArgb} def /pgfdir { dup 0 moveto dup 5 index lineto } bind def} bind def /pgfVrgb{/pgfheight exch def 0.75 setlinewidth [] 0 setdash /pgfshade {pgfArgb} def /pgfdir { dup 0 exch moveto dup 5 index exch lineto } bind def} bind def /pgfArgb{ /pgfdiff 8 index round cvi 8 index round cvi sub 2 mul 1 add def 2 index 6 index sub pgfdiff div 2 index 6 index sub pgfdiff div 2 index 6 index sub pgfdiff div pgfheight 9 index 9 index 9 index 14 index pgfdiff { 3 index 3 index 3 index setrgbcolor pgfdir stroke 4 -1 roll 7 index add 4 -1 roll 6 index add 4 -1 roll 5 index add 4 -1 roll .5 sub } repeat mark 15 1 roll cleartomark exch pop }bind def /pgfR1rgb{ newpath dup dup dup 0 360 arc clip newpath dup /pgfendx exch def /pgfendy exch def 0.875 setlinewidth [] 0 setdash /pgfshade {pgfRrgb} def /pgfstartx exch def /pgfstarty exch def /pgfdiffx pgfendx pgfstartx sub def /pgfdiffy pgfendy pgfstarty sub def dup /pgfdomb exch def }bind def /pgfR2rgb{ newpath 0.5 add pgfcircx pgfcircy 3 2 roll 0 360 arc setrgbcolor fill pop}bind def /pgfRrgb{ /pgfdiff 8 index round cvi 8 index round cvi sub 4 mul 1 add def /pgfcircx pgfstartx 9 index pgfdiffx pgfdomb div mul add def /pgfcircy pgfstarty 9 index pgfdiffy pgfdomb div mul add def /pgfcircxe pgfstartx 8 index pgfdiffx pgfdomb div mul add def /pgfcircye pgfstarty 8 index pgfdiffy pgfdomb div mul add def /pgfxstep pgfcircxe pgfcircx sub pgfdiff div def /pgfystep pgfcircye pgfcircy sub pgfdiff div def 2 index 6 index sub pgfdiff div 2 index 6 index sub pgfdiff div 2 index 6 index sub pgfdiff div 8 index 8 index 8 index 13 index pgfdiff { 3 index 3 index 3 index setrgbcolor pgfcircx pgfcircy 2 index 0 360 arc closepath stroke 4 -1 roll 6 index add 4 -1 roll 5 index add 4 -1 roll 4 index add 4 -1 roll .25 sub /pgfcircx pgfcircx pgfxstep add def /pgfcircy pgfcircy pgfystep add def } repeat mark 14 1 roll cleartomark exch pop }bind def /pgfHcmyk{ /pgfheight exch def 0.75 setlinewidth [] 0 setdash /pgfshade {pgfAcmyk} def /pgfdir { dup 0 moveto dup 6 index lineto } bind def} bind def /pgfVcmyk{ /pgfheight exch def 0.75 setlinewidth [] 0 setdash /pgfshade {pgfAcmyk} def /pgfdir { dup 0 exch moveto dup 6 index exch lineto } bind def} bind def /pgfAcmyk{ /pgfdiff 10 index round cvi 10 index round cvi sub 2 mul 1 add def 3 index 8 index sub pgfdiff div 3 index 8 index sub pgfdiff div 3 index 8 index sub pgfdiff div 3 index 8 index sub pgfdiff div pgfheight 12 index 12 index 12 index 12 index 18 index pgfdiff { 4 index 4 index 4 index 4 index setcmykcolor pgfdir stroke 5 -1 roll 9 index add 5 -1 roll 8 index add 5 -1 roll 7 index add 5 -1 roll 6 index add 5 -1 roll .5 sub } repeat mark 19 1 roll cleartomark exch pop }bind def /pgfR1cmyk{ newpath dup dup dup 0 360 arc clip newpath dup /pgfendx exch def /pgfendy exch def 0.875 setlinewidth [] 0 setdash /pgfshade {pgfRcmyk} def /pgfstartx exch def /pgfstarty exch def /pgfdiffx pgfendx pgfstartx sub def /pgfdiffy pgfendy pgfstarty sub def dup /pgfdomb exch def }bind def /pgfR2cmyk{ newpath 0.5 add pgfcircx pgfcircy 3 2 roll 0 360 arc setcmykcolor fill pop}bind def /pgfRcmyk{ /pgfdiff 10 index round cvi 10 index round cvi sub 4 mul 1 add def /pgfcircx pgfstartx 11 index pgfdiffx pgfdomb div mul add def /pgfcircy pgfstarty 11 index pgfdiffy pgfdomb div mul add def /pgfcircxe pgfstartx 10 index pgfdiffx pgfdomb div mul add def /pgfcircye pgfstarty 10 index pgfdiffy pgfdomb div mul add def /pgfxstep pgfcircxe pgfcircx sub pgfdiff div def /pgfystep pgfcircye pgfcircy sub pgfdiff div def 3 index 8 index sub pgfdiff div 3 index 8 index sub pgfdiff div 3 index 8 index sub pgfdiff div 3 index 8 index sub pgfdiff div 11 index 11 index 11 index 11 index 17 index pgfdiff { 4 index 4 index 4 index 4 index setcmykcolor pgfcircx pgfcircy 2 index 0 360 arc closepath stroke 5 -1 roll 8 index add 5 -1 roll 7 index add 5 -1 roll 6 index add 5 -1 roll 5 index add 5 -1 roll .25 sub /pgfcircx pgfcircx pgfxstep add def /pgfcircy pgfcircy pgfystep add def } repeat mark 18 1 roll cleartomark exch pop }bind def /pgfHgray{ /pgfheight exch def 0.75 setlinewidth [] 0 setdash /pgfshade {pgfAgray} def /pgfdir { dup 0 moveto dup 3 index lineto } bind def} bind def /pgfVgray{ /pgfheight exch def 0.75 setlinewidth [] 0 setdash /pgfshade {pgfAgray} def /pgfdir { dup 0 exch moveto dup 3 index exch lineto } bind def} bind def /pgfAgray{ /pgfdiff 4 index round cvi 4 index round cvi sub 2 mul 1 add def dup 2 index sub pgfdiff div pgfheight 3 index 6 index pgfdiff { 1 index setgray pgfdir stroke exch 3 index add exch .5 sub } repeat mark 7 1 roll cleartomark exch pop }bind def /pgfR1gray{ newpath dup dup dup 0 360 arc clip newpath dup /pgfendx exch def /pgfendy exch def 0.875 setlinewidth [] 0 setdash /pgfshade {pgfRgray} def /pgfstartx exch def /pgfstarty exch def /pgfdiffx pgfendx pgfstartx sub def /pgfdiffy pgfendy pgfstarty sub def dup /pgfdomb exch def }bind def /pgfR2gray{ newpath 0.5 add pgfcircx pgfcircy 3 2 roll 0 360 arc setgray fill pop}bind def /pgfRgray{ /pgfdiff 4 index round cvi 4 index round cvi sub 4 mul 1 add def /pgfcircx pgfstartx 5 index pgfdiffx pgfdomb div mul add def /pgfcircy pgfstarty 5 index pgfdiffy pgfdomb div mul add def /pgfcircxe pgfstartx 4 index pgfdiffx pgfdomb div mul add def /pgfcircye pgfstarty 4 index pgfdiffy pgfdomb div mul add def /pgfxstep pgfcircxe pgfcircx sub pgfdiff div def /pgfystep pgfcircye pgfcircy sub pgfdiff div def dup 2 index sub pgfdiff div 2 index 5 index pgfdiff { 1 index setgray pgfcircx pgfcircy 2 index 0 360 arc closepath stroke exch 2 index add exch .25 sub /pgfcircx pgfcircx pgfxstep add def /pgfcircy pgfcircy pgfystep add def } repeat mark 6 1 roll cleartomark exch pop }bind def /pgfsc{}bind def/pgffc{}bind def/pgfstr{stroke}bind def/pgffill{fill}bind def/pgfeofill{eofill}bind def/pgfe{a dup 0 rlineto exch 0 exch rlineto neg 0 rlineto closepath}bind def/pgfw{setlinewidth}bind def/pgfs{save pgfpd 72 Resolution div 72 VResolution div neg scale magscale{1 DVImag div dup scale}if pgfx neg pgfy neg translate pgffoa .setopacityalpha}bind def/pgfr{pgfsd restore}bind def userdict begin/pgfo{pgfsd /pgfx currentpoint /pgfy exch def def @beginspecial}bind def /pgfc{newpath @endspecial pgfpd}bind def /pgfsd{globaldict /pgfdelta /delta where {pop delta} {0} ifelse put}bind def/pgfpd{/delta globaldict /pgfdelta get def}bind def /.setopacityalpha where {pop} {/.setopacityalpha{pop}def} ifelse /.pgfsetfillopacityalpha{/pgffoa exch def /pgffill{gsave pgffoa .setopacityalpha fill 1 .setopacityalpha newpath fill grestore newpath}bind def /pgfeofill{gsave pgffoa .setopacityalpha eofill 1 .setopacityalpha newpath eofill grestore newpath}bind def}bind def /.pgfsetstrokeopacityalpha{/pgfsoa exch def /pgfstr{gsave pgfsoa .setopacityalpha stroke grestore newpath}bind def}bind def /pgffoa 1 def /pgfsoa 1 def end systemdict /pdfmark known{userdict /?pdfmark systemdict /exec get put}{userdict /?pdfmark systemdict /pop get put userdict /pdfmark systemdict /cleartomark get put}ifelse /DvipsToPDF{72.27 mul Resolution div} def/PDFToDvips{72.27 div Resolution mul} def/BPToDvips{72 div Resolution mul}def product (Ghostscript) search {pop pop pop revision 927 gt}{pop false} ifelse{/BorderArrayPatch{} def}{/BorderArrayPatch{[exch{dup dup type/integertype eq exch type/realtype eq or{BPToDvips}if}forall]}def} ifelse /HyperBorder {1 PDFToDvips} def/H.V {pdf@hoff pdf@voff null} def/H.B {/Rect[pdf@llx pdf@lly pdf@urx pdf@ury]} def/H.S {currentpoint HyperBorder add /pdf@lly exch def dup DvipsToPDF 72 add /pdf@hoff exch def HyperBorder sub /pdf@llx exch def} def/H.L {2 sub dup/HyperBasePt exch def PDFToDvips /HyperBaseDvips exch def currentpoint HyperBaseDvips sub /pdf@ury exch def/pdf@urx exch def} def/H.A {H.L currentpoint exch pop vsize 72 sub exch DvipsToPDF HyperBasePt sub sub /pdf@voff exch def} def/H.R {currentpoint HyperBorder sub /pdf@ury exch def HyperBorder add /pdf@urx exch def currentpoint exch pop vsize 72 sub exch DvipsToPDF sub /pdf@voff exch def} def /pgf1{gsave exec 1.0 pgfw 2.00002 0.0 moveto -6.00006 4.00005 lineto -3.00003 0.0 lineto -6.00006 -4.00005 lineto pgffill grestore} bind def /pgf2{gsave exec 1.0 pgfw 0.8 pgfw [ ] 0.0 setdash 1 setlinecap 1 setlinejoin -3.00003 4.00005 moveto -2.75002 2.50002 0.0 0.24998 0.75 0.0 curveto 0.0 -0.24998 -2.75002 -2.50002 -3.00003 -4.00005 curveto pgfstr grestore} bind def /pgf3{gsave exec 1.0 pgfw [ ] 0.0 setdash 0.0 -5.00005 moveto 0.0 5.00005 lineto pgfstr grestore} bind def /pgf4{gsave exec 1.0 pgfw [ ] 0.0 setdash -3.00003 -5.00005 moveto 0.0 -5.00005 lineto 0.0 5.00005 lineto -3.00003 5.00005 lineto pgfstr grestore} bind def /pgf5{gsave exec 1.0 pgfw [ ] 0.0 setdash -2.00002 -5.00005 moveto 1.0 -3.00003 1.0 3.00003 -2.00002 5.00005 curveto pgfstr grestore} bind def /pgf6{gsave exec 1.0 pgfw [ ] 0.0 setdash -4.50003 -5.00005 moveto 0.49998 0.0 lineto -4.50003 5.00005 lineto pgfstr grestore} bind def /pgf7{gsave exec 1.0 pgfw -2.50002 0.0 translate [ ] 0.0 setdash 3.00003 0.0 moveto 3.00003 1.65689 1.65689 3.00003 0.0 3.00003 curveto -1.65689 3.00003 -3.00003 1.65689 -3.00003 0.0 curveto -3.00003 -1.65689 -1.65689 -3.00003 0.0 -3.00003 curveto 1.65689 -3.00003 3.00003 -1.65689 3.00003 0.0 curveto closepath gsave pgffc pgffill grestore gsave pgfsc pgfstr grestore newpath grestore} bind def /pgf8{gsave exec 1.0 pgfw [ ] 0.0 setdash 1.0 0.0 moveto -5.00005 3.00003 lineto -11.00012 0.0 lineto -5.00005 -3.00003 lineto closepath gsave pgffc pgffill grestore gsave pgfsc pgfstr grestore newpath grestore} bind def @fedspecial end %%BeginFont: NimbusMonL-Regu %!PS-AdobeFont-1.0: NimbusMonL-Regu 1.05 %%CreationDate: Wed Dec 22 1999 % Copyright (URW)++,Copyright 1999 by (URW)++ Design & Development % (URW)++,Copyright 1999 by (URW)++ Design & Development % See the file COPYING (GNU General Public License) for license conditions. % As a special exception, permission is granted to include this font % program in a Postscript or PDF file that consists of a document that % contains text to be displayed or printed using this font, regardless % of the conditions or license applying to the document itself. 12 dict begin /FontInfo 10 dict dup begin /version (1.05) readonly def /Notice ((URW)++,Copyright 1999 by (URW)++ Design & Development. See the file COPYING (GNU General Public License) for license conditions. As a special exception, permission is granted to include this font program in a Postscript or PDF file that consists of a document that contains text to be displayed or printed using this font, regardless of the conditions or license applying to the document itself.) readonly def /Copyright (Copyright (URW)++,Copyright 1999 by (URW)++ Design & Development) readonly def /FullName (Nimbus Mono L Regular) readonly def /FamilyName (Nimbus Mono L) readonly def /Weight (Regular) readonly def /ItalicAngle 0.0 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def end readonly def /FontName /NimbusMonL-Regu def /PaintType 0 def /WMode 0 def /FontBBox {-12 -237 650 811} readonly def /FontType 1 def /FontMatrix [0.001 0.0 0.0 0.001 0.0 0.0] readonly def /Encoding StandardEncoding def currentdict end currentfile eexec D9D66F633B846A989B9974B0179FC6CC445BC2C03103C68570A7B354A4A280AE 6FBF7F9888E039AB60FCAF852EB4CE3AFEB979D5EA70FDE44A2AE5C8C0166C27 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: EUFM10 %!PS-AdobeFont-1.0: EUFM10 003.003 %%Title: EUFM10 %Version: 003.003 %%CreationDate: Mon Jun 13 12:00:00 2011 %%Creator: American Mathematical Society %Copyright: Copyright (c) 1997, 2009, 2011 American Mathematical Society %Copyright: (<http://www.ams.org>), with Reserved Font Name EUFM10. % This Font Software is licensed under the SIL Open Font License, Version 1.1. % This license is in the accompanying file OFL.txt, and is also % available with a FAQ at: http://scripts.sil.org/OFL. %%EndComments %%VMusage: 120000 150000 11 dict begin /FontInfo 15 dict dup begin /version (003.003) readonly def /Notice (Copyright \050c\051 1997, 2009, 2011 American Mathematical Society \050<http://www.ams.org>\051, with Reserved Font Name EUFM10.) readonly def /FullName (EUFM10) readonly def /FamilyName (Euler) readonly def /ItalicAngle 0 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def /Weight (Medium) readonly def end readonly def /FontName /EUFM10 def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 103 /g put readonly def /PaintType 0 def /FontType 1 def /FontMatrix [ 0.001 0 0 0.001 0 0 ] readonly def /FontBBox {-28 -257 1055 741} readonly def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: NimbusRomNo9L-Medi %!PS-AdobeFont-1.0: NimbusRomNo9L-Medi 1.05 %%CreationDate: Wed Dec 22 1999 % Copyright (URW)++,Copyright 1999 by (URW)++ Design & Development % (URW)++,Copyright 1999 by (URW)++ Design & Development % See the file COPYING (GNU General Public License) for license conditions. % As a special exception, permission is granted to include this font % program in a Postscript or PDF file that consists of a document that % contains text to be displayed or printed using this font, regardless % of the conditions or license applying to the document itself. 12 dict begin /FontInfo 10 dict dup begin /version (1.05) readonly def /Notice ((URW)++,Copyright 1999 by (URW)++ Design & Development. See the file COPYING (GNU General Public License) for license conditions. As a special exception, permission is granted to include this font program in a Postscript or PDF file that consists of a document that contains text to be displayed or printed using this font, regardless of the conditions or license applying to the document itself.) readonly def /Copyright (Copyright (URW)++,Copyright 1999 by (URW)++ Design & Development) readonly def /FullName (Nimbus Roman No9 L Medium) readonly def /FamilyName (Nimbus Roman No9 L) readonly def /Weight (Bold) readonly def /ItalicAngle 0.0 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def end readonly def /FontName /NimbusRomNo9L-Medi def /PaintType 0 def /WMode 0 def /FontBBox {-168 -341 1000 960} readonly def /FontType 1 def /FontMatrix [0.001 0.0 0.0 0.001 0.0 0.0] readonly def /Encoding StandardEncoding def currentdict end currentfile eexec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F05C4419EF8EB505CDB581B501564BC3D60D765407C1F8A3 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: NimbusRomNo9L-Regu %!PS-AdobeFont-1.0: NimbusRomNo9L-Regu 1.05 %%CreationDate: Wed Dec 22 1999 % Copyright (URW)++,Copyright 1999 by (URW)++ Design & Development % (URW)++,Copyright 1999 by (URW)++ Design & Development % See the file COPYING (GNU General Public License) for license conditions. % As a special exception, permission is granted to include this font % program in a Postscript or PDF file that consists of a document that % contains text to be displayed or printed using this font, regardless % of the conditions or license applying to the document itself. 12 dict begin /FontInfo 10 dict dup begin /version (1.05) readonly def /Notice ((URW)++,Copyright 1999 by (URW)++ Design & Development. See the file COPYING (GNU General Public License) for license conditions. As a special exception, permission is granted to include this font program in a Postscript or PDF file that consists of a document that contains text to be displayed or printed using this font, regardless of the conditions or license applying to the document itself.) readonly def /Copyright (Copyright (URW)++,Copyright 1999 by (URW)++ Design & Development) readonly def /FullName (Nimbus Roman No9 L Regular) readonly def /FamilyName (Nimbus Roman No9 L) readonly def /Weight (Regular) readonly def /ItalicAngle 0.0 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def end readonly def /FontName /NimbusRomNo9L-Regu def /PaintType 0 def /WMode 0 def /FontBBox {-168 -281 1000 924} readonly def /FontType 1 def /FontMatrix [0.001 0.0 0.0 0.001 0.0 0.0] readonly def /Encoding StandardEncoding def currentdict end currentfile eexec D9D66F633B846A989B9974B0179FC6CC445BC2C03103C68570A7B354A4A280AE 6FBF7F9888E039AB60FCAF852EB4CE3AFEB979D5EA70FDE44A2AE5C8C0166C27 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: NimbusRomNo9L-ReguItal %!PS-AdobeFont-1.0: NimbusRomNo9L-ReguItal 1.05 %%CreationDate: Wed Dec 22 1999 % Copyright (URW)++,Copyright 1999 by (URW)++ Design & Development % (URW)++,Copyright 1999 by (URW)++ Design & Development % See the file COPYING (GNU General Public License) for license conditions. % As a special exception, permission is granted to include this font % program in a Postscript or PDF file that consists of a document that % contains text to be displayed or printed using this font, regardless % of the conditions or license applying to the document itself. 12 dict begin /FontInfo 10 dict dup begin /version (1.05) readonly def /Notice ((URW)++,Copyright 1999 by (URW)++ Design & Development. See the file COPYING (GNU General Public License) for license conditions. As a special exception, permission is granted to include this font program in a Postscript or PDF file that consists of a document that contains text to be displayed or printed using this font, regardless of the conditions or license applying to the document itself.) readonly def /Copyright (Copyright (URW)++,Copyright 1999 by (URW)++ Design & Development) readonly def /FullName (Nimbus Roman No9 L Regular Italic) readonly def /FamilyName (Nimbus Roman No9 L) readonly def /Weight (Regular) readonly def /ItalicAngle -15.5 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def end readonly def /FontName /NimbusRomNo9L-ReguItal def /PaintType 0 def /WMode 0 def /FontBBox {-169 -270 1010 924} readonly def /FontType 1 def /FontMatrix [0.001 0.0 0.0 0.001 0.0 0.0] readonly def /Encoding StandardEncoding def currentdict end currentfile eexec D9D66F633B846A989B9974B0179FC6CC445BC2C03103C68570A7B354A4A280AE 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H.R end 3722 2669 a 3722 2731 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.BGH1) cvn H.B /ANN pdfmark end 3722 2731 a Fw(,)156 2841 y SDict begin H.S end 156 2841 a 0 TeXcolorgray -2 x Fw(BGH2)p 0 TeXcolorgray 403 2777 a SDict begin H.R end 403 2777 a 403 2839 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.BGH2) cvn H.B /ANN pdfmark end 403 2839 a Fw(,)451 2841 y SDict begin H.S end 451 2841 a 0 TeXcolorgray -2 x Fw(HSY)p 0 TeXcolorgray 638 2777 a SDict begin H.R end 638 2777 a 638 2839 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.HSY) cvn H.B /ANN pdfmark end 638 2839 a Fv(])26 b(for)g(types)i Fu(B)1112 2853 y FC(n)1159 2839 y Fv(,)e Fu(C)1273 2853 y FC(n)1320 2839 y Fv(,)f Fu(D)1443 2853 y FC(n)1491 2839 y Fv(;)i([)1573 2839 y SDict begin H.S end 1573 2839 a 0 TeXcolorgray Fw(BH)p 0 TeXcolorgray 1704 2778 a SDict begin H.R end 1704 2778 a 1704 2839 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.BH) cvn H.B /ANN pdfmark end 1704 2839 a Fw(,)1753 2841 y SDict begin H.S end 1753 2841 a 0 TeXcolorgray -2 x Fw(CH)p 0 TeXcolorgray 1889 2777 a SDict begin H.R end 1889 2777 a 1889 2839 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.CH) cvn H.B /ANN pdfmark end 1889 2839 a Fw(,)1937 2855 y SDict begin H.S end 1937 2855 a 0 TeXcolorgray -16 x Fw(HSQ)p 0 TeXcolorgray 2129 2777 a SDict begin H.R end 2129 2777 a 2129 2839 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.HSQ) cvn H.B /ANN pdfmark end 2129 2839 a Fw(,)2177 2840 y SDict begin H.S end 2177 2840 a 0 TeXcolorgray -1 x Fw(HW)p 0 TeXcolorgray 2339 2778 a SDict begin H.R end 2339 2778 a 2339 2839 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.HW) cvn H.B /ANN pdfmark end 2339 2839 a Fv(])f(for)g(types)i Fu(F)2802 2853 y Ft(4)2841 2839 y Fv(,)e Fu(E)2957 2853 y Ft(6)2997 2839 y Fv(,)g Fu(E)3113 2853 y Ft(7)3152 2839 y Fv(,)g Fu(E)3268 2853 y Ft(8)3308 2839 y Fv(,)g Fu(G)3428 2853 y Ft(2)3468 2839 y Fv(;)h([)3550 2839 y SDict begin H.S end 3550 2839 a 0 TeXcolorgray Fw(HP1)p 0 TeXcolorgray 3722 2777 a SDict begin H.R end 3722 2777 a 3722 2839 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.HP1) cvn H.B /ANN pdfmark end 3722 2839 a Fw(,)156 2947 y SDict begin H.S end 156 2947 a 0 TeXcolorgray Fw(HP2)p 0 TeXcolorgray 327 2885 a SDict begin H.R end 327 2885 a 327 2947 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.HP2) cvn H.B /ANN pdfmark end 327 2947 a Fv(])21 b(for)g(an)o(y)g (types,)h(respecti)n(v)o(ely)-6 b(.)31 b(Some)20 b(w)o(ork)h(has)g (also)g(been)h(done)g(on)f(the)g(structure)i(and)e(representation)156 3055 y(theory)k(of)e(the)h(tw)o(o-parameter)i(quantum)f(super)n(groups) i([)2031 3055 y SDict begin H.S end 2031 3055 a 0 TeXcolorgray Fw(A)-9 b(Y)p 0 TeXcolorgray 2154 2993 a SDict begin H.R end 2154 2993 a 2154 3055 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.AY) cvn H.B /ANN pdfmark end 2154 3055 a Fw(,)2199 3057 y SDict begin H.S end 2199 3057 a 0 TeXcolorgray -2 x Fw(Sh)p 0 TeXcolorgray 2300 2993 a SDict begin H.R end 2300 2993 a 2300 3055 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Sh) cvn H.B /ANN pdfmark end 2300 3055 a Fw(,)2346 3055 y SDict begin H.S end 2346 3055 a 0 TeXcolorgray Fw(Zh)p 0 TeXcolorgray 2457 2994 a SDict begin H.R end 2457 2994 a 2457 3055 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Zh) cvn H.B /ANN pdfmark end 2457 3055 a Fw(,)2502 3057 y SDict begin H.S end 2502 3057 a 0 TeXcolorgray -2 x Fw(CL)p 0 TeXcolorgray 2628 2993 a SDict begin H.R end 2628 2993 a 2628 3055 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.CL) cvn H.B /ANN pdfmark end 2628 3055 a Fw(,)2674 3055 y SDict begin H.S end 2674 3055 a 0 TeXcolorgray Fw(HM)p 0 TeXcolorgray 2830 2994 a SDict begin H.R end 2830 2994 a 2830 3055 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.HM) cvn H.B /ANN pdfmark end 2830 3055 a Fv(].)305 3163 y(F)o(or)27 b Fu(U)519 3177 y FC(q)557 3163 y Fs(\()p Fr(g)p Fs(\))h Fv(with)g Fu(q)i Fv(generic,)h(the)d(center)i(of)e(the)g(quantized)j(en)l(v)o(eloping)g (algebra)f(of)e(a)g(semisimple)h(Lie)156 3271 y(algebra)22 b(is)f(well-kno)n(wn)h(to)e(be)h(described)i(by)e(the)g(Harish-Chandra) j(homomorphism,)f(that)e(is,)g Fu(Z)h Fs(\()p Fu(U)3443 3285 y FC(q)3497 3271 y Fs(\()p Fr(g)p Fs(\)\))3674 3246 y Fq(\030)3674 3275 y Fs(=)156 3329 y Fp(\000)197 3402 y Fu(U)269 3369 y Ft(0)259 3425 y FC(ev)333 3329 y Fp(\001)375 3351 y FC(W)455 3402 y Fv(,)d(where)737 3329 y Fp(\000)779 3402 y Fu(U)851 3369 y Ft(0)841 3425 y FC(ev)915 3329 y Fp(\001)956 3351 y FC(W)1055 3402 y Fv(denotes)i(the)e(span)h(of)f (all)g(quantum)i(Cartan)e(elements)i Fu(k)2854 3416 y FC(\026)2919 3402 y Fv(with)e Fu(\026)f Fv(\223e)n(v)o(en\224)i (weights,)156 3510 y(i.e.,)f(in)h Fs(2\003)p Fv(.)27 b(This)20 b(naturally)i(produces)h(the)d(quantum)h(Casimir)f(operator)i (analogous)h(to)d(the)g(semisimple)h(case,)156 3618 y(and)j(here)g(we)f (still)h(call)g(it)g(the)g(Casimir)f(operator)l(,)j(which)e(can)g(be)g (e)o(xtended)i(to)d(the)h(tw)o(o-parameter)i(quantum)156 3742 y(case.)33 b(As)25 b(for)g(a)f(more)h(recent)i(w)o(ork)e(of)1455 3669 y Fp(\000)1496 3742 y Fu(U)1568 3709 y Ft(0)1558 3765 y FC(ev)1632 3669 y Fp(\001)1674 3691 y FC(W)1778 3742 y Fv(described)j(as)d(a)f(polynomial)k(algebra)f(in)d(se)n(v)o (eral)i(v)n(ariables)156 3850 y(or)h(a)f(certain)j(quotient)g(object)g (of)e(it,)g(see)h([)1546 3850 y SDict begin H.S end 1546 3850 a 0 TeXcolorgray Fw(LXZ1)p 0 TeXcolorgray 1779 3788 a SDict begin H.R end 1779 3788 a 1779 3850 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.LXZ1) cvn H.B /ANN pdfmark end 1779 3850 a Fw(,)1828 3850 y SDict begin H.S end 1828 3850 a 0 TeXcolorgray Fw(LXZ2)p 0 TeXcolorgray 2060 3788 a SDict begin H.R end 2060 3788 a 2060 3850 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.LXZ2) cvn H.B /ANN pdfmark end 2060 3850 a Fv(].)39 b(Recently)-6 b(,)29 b(the)f (Harish-Chandra)i(type)d(theorem)156 3958 y(for)33 b Fu(U)356 3972 y FC(q)394 3958 y Fs(\()p Fr(g)p Fs(\))f Fv(with)h Fr(g)f Fv(being)i(a)e(simple)i(basic)g(Lie)e(superalgebra)k (\(cf.)57 b([)2473 3959 y SDict begin H.S end 2473 3959 a 0 TeXcolorgray -1 x Fw(Kac)p 0 TeXcolorgray 2630 3897 a SDict begin H.R end 2630 3897 a 2630 3958 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Kac) cvn H.B /ANN pdfmark end 2630 3958 a Fv(]\))32 b(when)h Fu(q)i Fv(is)e(generic)i (has)e(been)156 4066 y(obtained)25 b(by)f(Luo-W)-7 b(ang-Y)e(e)25 b(in)e([)1265 4067 y SDict begin H.S end 1265 4067 a 0 TeXcolorgray -1 x Fw(L)-8 b(WY)p 0 TeXcolorgray 1474 4005 a SDict begin H.R end 1474 4005 a 1474 4066 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.LWY) cvn H.B /ANN pdfmark end 1474 4066 a Fv(].)305 4174 y(Ho)n(we)n(v)o(er)l(,)29 b(it)f(is)g(kno)n(wn)h(that)g(in)f(the)h(case)g(when)f Fu(q)i Fv(is)e(a)g(root)h(of)f(unity)-6 b(,)31 b(the)d(Casimir)h (operators)i(in)d(gen-)156 4282 y(eral)h(do)g(not)h(e)o(xhaust)h(the)e (whole)h(center)g(of)f(the)g(quantum)i(\(super\)group.)49 b(F)o(or)28 b(instance,)33 b(some)c(po)n(wers)h(of)156 4390 y(generators)h(also)e(belong)h(to)f(the)g(center)-5 b(.)45 b(All)28 b(these)h(central)h(elements)g(are)f(ho)n(we)n(v)o(er)g (not)g(independent,)k(b)n(ut)156 4498 y(satisfy)c(certain)h(polynomial) g(relations)g([)1506 4499 y SDict begin H.S end 1506 4499 a 0 TeXcolorgray -1 x Fw(Lu)p 0 TeXcolorgray 1617 4437 a SDict begin H.R end 1617 4437 a 1617 4498 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Lu) cvn H.B /ANN pdfmark end 1617 4498 a Fw(,)1667 4498 y SDict begin H.S end 1667 4498 a 0 TeXcolorgray Fw(AB1)p 0 TeXcolorgray 1839 4435 a SDict begin H.R end 1839 4435 a 1839 4498 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.AB1) cvn H.B /ANN pdfmark end 1839 4498 a Fw(,)1889 4498 y SDict begin H.S end 1889 4498 a 0 TeXcolorgray Fw(AAB)p 0 TeXcolorgray 2081 4435 a SDict begin H.R end 2081 4435 a 2081 4498 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.AAB) cvn H.B /ANN pdfmark end 2081 4498 a Fw(,)2131 4498 y SDict begin H.S end 2131 4498 a 0 TeXcolorgray Fw(ABF)p 0 TeXcolorgray 2312 4435 a SDict begin H.R end 2312 4435 a 2312 4498 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.ABF) cvn H.B /ANN pdfmark end 2312 4498 a Fw(,)2362 4500 y SDict begin H.S end 2362 4500 a 0 TeXcolorgray -2 x Fw(A)-5 b(CF)p 0 TeXcolorgray 2544 4435 a SDict begin H.R end 2544 4435 a 2544 4498 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.ACF) cvn H.B /ANN pdfmark end 2544 4498 a Fw(,)2594 4498 y SDict begin H.S end 2594 4498 a 0 TeXcolorgray Fw(AB2)p 0 TeXcolorgray 2766 4435 a SDict begin H.R end 2766 4435 a 2766 4498 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.AB2) cvn H.B /ANN pdfmark end 2766 4498 a Fv(].)41 b(On)27 b(the)h(other)h(hand,)h(such)156 4606 y(relations)g(in)e(the)g(center)h (of)f(a)f(quantum)i(super)n(group)j(ha)n(v)o(e)c(not)g(been)h(kno)n(wn) f(in)g(general,)i(e)o(xcept)f(for)f(some)156 4714 y(special)e(e)o (xamples)f([)827 4714 y SDict begin H.S end 827 4714 a 0 TeXcolorgray Fw(AAB)p 0 TeXcolorgray 1019 4651 a SDict begin H.R end 1019 4651 a 1019 4714 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.AAB) cvn H.B /ANN pdfmark end 1019 4714 a Fw(,)1066 4714 y SDict begin H.S end 1066 4714 a 0 TeXcolorgray Fw(ABF)p 0 TeXcolorgray 1248 4651 a SDict begin H.R end 1248 4651 a 1248 4714 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.ABF) cvn H.B /ANN pdfmark end 1248 4714 a Fw(,)1294 4716 y SDict begin H.S end 1294 4716 a 0 TeXcolorgray -2 x Fw(A)-5 b(CF)p 0 TeXcolorgray 1476 4651 a SDict begin H.R end 1476 4651 a 1476 4714 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.ACF) cvn H.B /ANN pdfmark end 1476 4714 a Fv(],)23 b([)1582 4715 y SDict begin H.S end 1582 4715 a 0 TeXcolorgray -1 x Fw(K)n(e)p 0 TeXcolorgray 1692 4653 a SDict begin H.R end 1692 4653 a 1692 4714 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Ke) cvn H.B /ANN pdfmark end 1692 4714 a Fw(,)1738 4714 y SDict begin H.S end 1738 4714 a 0 TeXcolorgray Fw(AB2)p 0 TeXcolorgray 1910 4651 a SDict begin H.R end 1910 4651 a 1910 4714 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.AB2) cvn H.B /ANN pdfmark end 1910 4714 a Fv(].)30 b(In)25 b([)2123 4714 y SDict begin H.S end 2123 4714 a 0 TeXcolorgray Fw(AB2)p 0 TeXcolorgray 2295 4651 a SDict begin H.R end 2295 4651 a 2295 4714 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.AB2) cvn H.B /ANN pdfmark end 2295 4714 a Fv(],)e(the)i(authors)h(used)g(the)e(Chebyche)n(v)i(poly-)156 4822 y(nomial)k(to)g(gi)n(v)o(e)g(e)o(xplicit)i(relations)g(between)f (the)f(Casimir)g(operator)l(,)k(Scasimir)c(operator)i(and)f(the)f(po)n (wers)156 4930 y(of)c(generators)j(in)e(the)f(center)-5 b(.)39 b(Corresponding)30 b(result)e(for)e(the)h(quantum)h(super)n (group)i Fu(U)3072 4944 y FC(r)n(;s)3173 4930 y Fs(\()q Fu(osp)p Fs(\(1)p Fu(;)15 b Fs(2\))q(\))26 b Fv(w)o(as)p 0 TeXcolorgray 156 5033 499 4 v 305 5124 a Fo(K)m(e)n(y)19 b(wor)m(ds)h(and)f(phr)o(ases.)39 b FA(T)-6 b(w)o(o-parameter)19 b(quantum)i(super)o(group,)f(center)m(,)f(Dickson)g(polynomial,)h (Scasimir)e(Operator)l(.)305 5216 y Fn(\003)h FA(Corresponding)i (author)l(.)p 0 TeXcolorgray 0 TeXcolorgray 1933 5315 a Fm(1)p 0 TeXcolorgray eop end end %%Page: 2 2 TeXDict begin HPSdict begin 2 1 bop 0 TeXcolorgray 0 0 a SDict begin /product where{pop product(Distiller)search{pop pop pop version(.)search{exch pop exch pop(3011)eq{gsave 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1978 y Fy(N)986 1993 y Fi(1)1024 1967 y FC(;t)1069 1944 y Fi(1)1069 1990 y Fy(N)1117 2005 y Fi(2)1156 1967 y FC(;u)1217 1929 y Fi(1)1247 1944 y(1)1217 1990 y Fy(N)1265 2005 y Fi(2)1308 1928 y Fu(e)1350 1880 y FC(u)1391 1842 y Fi(1)1421 1857 y(1)1391 1903 y Fy(N)1439 1918 y Fi(2)1502 1928 y Fs(+)h Fu(a)1641 1967 y FC(N)s(;s)1753 1978 y Fy(N)1806 1993 y Fi(1)1845 1967 y FC(;t)1890 1944 y Fi(1)1890 1990 y Fy(N)1938 2005 y Fi(2)1977 1967 y FC(;u)2038 1929 y Fi(1)2068 1944 y(2)2038 1990 y Fy(N)2086 2005 y Fi(2)2128 1928 y Fu(e)2170 1880 y FC(u)2211 1842 y Fi(1)2241 1857 y(2)2211 1903 y Fy(N)2259 1918 y Fi(2)2323 1928 y Fs(+)g Fq(\001)15 b(\001)g(\001)21 b Fs(+)f Fu(a)2679 1999 y FC(N)s(;s)2791 2010 y Fy(N)2844 2025 y Fi(1)2883 1999 y FC(;t)2928 1976 y Fi(1)2928 2022 y Fy(N)2976 2037 y Fi(2)3015 1999 y FC(;u)3076 1929 y Fi(1)3106 1945 y Fy(i)3128 1961 y(N)3181 1976 y Fi(2)3076 2022 y Fy(N)3124 2037 y Fi(2)3233 1928 y Fu(e)3275 1880 y FC(u)3316 1810 y Fi(1)3346 1825 y Fy(i)3368 1842 y(N)3421 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