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<?xml version="1.0" encoding="UTF-8" ?>DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd " >html xmlns="http://www.w3.org/1999/xhtml " xml:lang="en" >head >script type="text/javascript" "https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.0/MathJax.js?config=TeX-AMS-MML_HTMLorMML " >script >title >GAP (SL2Reps) - Contents</title >meta http-equiv="content-type" content="text/html; charset=UTF-8" />meta name="generator" content="GAPDoc2HTML" />link rel="stylesheet" type="text/css" href="manual.css" />script src="manual.js" type="text/javascript" ></script >script type="text/javascript" >overwriteStyle();</script >head >body class="chap0" onload="jscontent()" >div class="chlinktop" ><span class="chlink1" >Goto Chapter: </span ><a href="chap0_mj.html" >Top</a> <a href="chap1_mj.html" >1</a> <a href="chap2_mj.html" >2</a> <a href="chap3_mj.html" >3</a> <a href="chap4_mj.html" >4</a> <a href="chap5_mj.html" >5</a> <a href="chapBib_mj.html" >Bib</a> <a href="chapInd_mj.html" >Ind</a> </div >div class="chlinkprevnexttop" > <a href="chap0_mj.html" >[Top of Book]</a> <a href="chap0_mj.html#contents" >[Contents]</a> <a href="chap1_mj.html" >[Next Chapter]</a> </div >"mathjaxlink" class="pcenter" ><a href="chap0.html" >[MathJax off]</a></p>"X7D2C85EC87DD46E5" name="X7D2C85EC87DD46E5" ></a></p>div class="pcenter" >h1 >SL2Reps</h1 >div >br />Email: <span class="URL" ><a href="mailto:rng@math.lsu.edu" >rng@math.lsu.edu</a></span >br />Homepage: <span class="URL" ><a href="https://www.math.lsu.edu/~rng/ " >https://www.math.lsu.edu/~rng/</a></span >br />Address : <br />Louisiana State University, Baton Rouge, LA, 70803, USA<br />br />Email: <span class="URL" ><a href="mailto:wyl@bimsa.cn" >wyl@bimsa.cn</a></span >br />Homepage: <span class="URL" ><a href="https://yilongwang11.github.io " >https://yilongwang11.github.io</a></span >br />Address : <br />Louisiana State University, Baton Rouge, LA, 70803, USA <br /> Current: Beijing Institute of Mathematical Sciences and Applications (BIMSA), Huairou, Beijing, China<br />br />Email: <span class="URL" ><a href="mailto:swil311@lsu.edu" >swil311@lsu.edu</a></span >br />Homepage: <span class="URL" ><a href="https://snw-0.github.io " >https://snw-0.github.io</a></span >br />Address : <br />Louisiana State University, Baton Rouge, LA, 70803, USA<br />"X81488B807F2A1CF1" name="X81488B807F2A1CF1" ></a></p>span class="URL" ><a href="https://www.fsf.org/licenses/gpl.html " >GNU General Public License</a></span > as published by the Free Software Foundation; either version 2 of the License, or (at your option ) any later version.</p>"X82A988D47DFAFCFA" name="X82A988D47DFAFCFA" ></a></p>"X8537FEB07AF2BEC8" name="X8537FEB07AF2BEC8" ></a></p>div class="contents" >"contents" name="contents" ></a></h3>div class="ContChap" ><a href="chap1_mj.html#X7DFB63A97E67C0A1" >1 <span class="Heading" >Introduction</span ></a>div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap1_mj.html#X8360C04082558A12" >1.1 <span class="Heading" >Installation</span ></a>span >div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap1_mj.html#X86A9B6F87E619FFF" >1.2 <span class="Heading" >Usage</span ></a>span >div >div >div class="ContChap" ><a href="chap2_mj.html#X7BBCB13F82ACC213" >2 <span class="Heading" >Description</span ></a>div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap2_mj.html#X7F6278CD87400D49" >2.1 <span class="Heading" >Construction</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2_mj.html#X86466B2786DD47C4" >2.1-1 <span class="Heading" >Weil representations</span ></a>span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2_mj.html#X7A8505DA8318656E" >2.1-2 <span class="Heading" >Character subspaces and primitive characters</span ></a>span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2_mj.html#X85605F1983AA938D" >2.1-3 <span class="Heading" >Irrep Types</span ></a>span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2_mj.html#X785B74657C952121" >2.1-4 <span class="Heading" >S and T matrices</span ></a>span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap2_mj.html#X861BA4A8800E1A08" >2.2 <span class="Heading" >Weil representation types</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2_mj.html#X7AEC048F793F1D79" >2.2-1 <span class="Heading" >Type D</span ></a>span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2_mj.html#X84E15A1E8326AF4F" >2.2-2 <span class="Heading" >Type N</span ></a>span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2_mj.html#X7B788E2F87AF51CA" >2.2-3 <span class="Heading" >Type R, generic cases</span ></a>span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2_mj.html#X7B1E74AC85CBD40B" >2.2-4 <span class="Heading" >Type R, unary and extremal cases</span ></a>span >div ></div >div >div class="ContChap" ><a href="chap3_mj.html#X7C4165447B8AB223" >3 <span class="Heading" >Irreducible representations of prime-power level</span ></a>div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap3_mj.html#X82DA126D7F755B1C" >3.1 <span class="Heading" >Representations of type D</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3_mj.html#X845D92CB7841CB0B" >3.1-1 SL2ModuleD</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3_mj.html#X7FDB517981A2C091" >3.1-2 SL2IrrepD</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap3_mj.html#X7CD74CFC84B38042" >3.2 <span class="Heading" >Representations of type N</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3_mj.html#X7A50CC5A7933E207" >3.2-1 SL2ModuleN</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3_mj.html#X81D60FE878F02838" >3.2-2 SL2IrrepN</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap3_mj.html#X7D9759387C499FA0" >3.3 <span class="Heading" >Representations of type R</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3_mj.html#X7B10D99E7AEAC411" >3.3-1 SL2ModuleR</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3_mj.html#X80961A2C7C5F632E" >3.3-2 SL2IrrepR</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3_mj.html#X7C94E3007A1BEE85" >3.3-3 SL2IrrepRUnary</a></span >div ></div >div >div class="ContChap" ><a href="chap4_mj.html#X8168FF017B2C0BB2" >4 <span class="Heading" >Lists of representations</span ></a>div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap4_mj.html#X80406B597E11D7C6" >4.1 <span class="Heading" >Lists by degree</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4_mj.html#X7CC7D26D7E37A1B9" >4.1-1 SL2IrrepsOfDegree</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4_mj.html#X7D5FF1AE85318A70" >4.1-2 SL2IrrepsOfMaxDegree</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap4_mj.html#X78C583957D3FF6ED" >4.2 <span class="Heading" >Lists by level</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4_mj.html#X8209AFA6825C44DC" >4.2-1 SL2IrrepsOfLevel</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap4_mj.html#X80400C6D79D4D0D6" >4.3 <span class="Heading" >Lists of exceptional representations</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4_mj.html#X87A4E88F784B5B9A" >4.3-1 SL2IrrepsExceptional</a></span >div ></div >div >div class="ContChap" ><a href="chap5_mj.html#X794C1A137F8FA14D" >5 <span class="Heading" >Methods for testing</span ></a>div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap5_mj.html#X7DE7E7187BE24368" >5.1 <span class="Heading" >Testing</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5_mj.html#X801680187A8CA462" >5.1-1 SL2WithConjClasses</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5_mj.html#X7A97C7C77C7608D0" >5.1-2 SL2ChiST</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5_mj.html#X7BFA24298556FF78" >5.1-3 SL2TestPositions</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5_mj.html#X7B41A0178465F138" >5.1-4 SL2TestSymmetry</a></span >div ></div >div >div class="ContChap" ><a href="chapBib_mj.html" ><span class="Heading" >References</span ></a></div >div class="ContChap" ><a href="chapInd_mj.html" ><span class="Heading" >Index</span ></a></div >br />div >div class="chlinkprevnextbot" > <a href="chap0_mj.html" >[Top of Book]</a> <a href="chap0_mj.html#contents" >[Contents]</a> <a href="chap1_mj.html" >[Next Chapter]</a> </div >div class="chlinkbot" ><span class="chlink1" >Goto Chapter: </span ><a href="chap0_mj.html" >Top</a> <a href="chap1_mj.html" >1</a> <a href="chap2_mj.html" >2</a> <a href="chap3_mj.html" >3</a> <a href="chap4_mj.html" >4</a> <a href="chap5_mj.html" >5</a> <a href="chapBib_mj.html" >Bib</a> <a href="chapInd_mj.html" >Ind</a> </div >hr />"foot" >generated by <a 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