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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" src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.0/MathJax.js?config=TeX- </script> <title>GAP (quagroup) - Index</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="chapInd" onload="jscontent()"> <div class="chlinktop"><span class="chlink1">Goto Chapter: </span><a href="chap0_mj.html">Top< <div class="chlinkprevnexttop"> <a href="chap0_mj.html">[Top of Book]</a> <a href="chap0_mj.ht <p id="mathjaxlink" class="pcenter"><a href="chapInd.html">[MathJax off]</a></p> <p><a id="X83A0356F839C696F" name="X83A0356F839C696F"></a></p> <div class="index"> <h3>Index</h3> <code class="func">\*</code> <a href="chap3_mj.html#X7857704878577048">3.6-9</a> <br /> <code class="func">_q</code> <a href="chap3_mj.html#X87FCF1537A81E11D">3.1-2</a> <br /> <code class="func">AntiAutomorphismTau</code> <a href="chap3_mj.html#X7E288BFE7FDF8BEA">3 <code class="func">AntipodeMap</code> <a href="chap3_mj.html#X7985B7EF7E31C4DF">3.7-4</a> <br <code class="func">ApplyWeylElement</code> <a href="chap3_mj.html#X7D738A0E85CD5C14">3.4- <code class="func">AutomorphismOmega</code> <a href="chap3_mj.html#X851AE6987871E0E8">3.6 <code class="func">AutomorphismTalpha</code> <a href="chap3_mj.html#X8277D87D7D81AE75">3. <code class="func">BarAutomorphism</code> <a href="chap3_mj.html#X8576A5987AD999F0">3.6-6< <code class="func">BilinearFormMatNF</code> <a href="chap3_mj.html#X79E8AE3A8739D11A">3.3 <code class="func">CanonicalBasis</code> <a href="chap3_mj.html#X7C8EBFF5805F8C51">3.10-3< <code class="func">CanonicalMapping</code> <a href="chap3_mj.html#X82B42CD279854DFC">3.5- <code class="func">ComultiplicationMap</code> <a href="chap3_mj.html#X811565FF83FA4847">3 <code class="func">CounitMap</code> <a href="chap3_mj.html#X8361876D8770FC06">3.7-5</a> <br /> <code class="func">CrystalBasis</code> <a href="chap3_mj.html#X85A9229678572948">3.10-11</ <code class="func">CrystalGraph</code>, for a module <a href="chap3_mj.html#X7D7607BB81ADF5 for root system and weight <a href="chap3_mj.html#X8637218B80BDC906">3.9-7</a> <br /> <code class="func">CrystalVectors</code> <a href="chap3_mj.html#X82CE52AB7E798902">3.10-1 <code class="func">DiagramAutomorphism</code> <a href="chap3_mj.html#X7DC17C2D8540FCED">3 <code class="func">DIYModule</code> <a href="chap3_mj.html#X7C03DC018016B93B">3.8-4</a> <br /> <code class="func">DominantLSPath</code> <a href="chap3_mj.html#X8025E1918067B03C">3.9-1</ <code class="func">DualAlgebraModule</code> <a href="chap3_mj.html#X79C8F1317C2E8C60">3.8 <code class="func">Ealpha</code>, for a crystal vector <a href="chap3_mj.html#X7B9C76BF841FA for a module element <a href="chap3_mj.html#X855EFC817CFCE2C7">3.10-10</a> <br /> for a PBW-monomial <a href="chap3_mj.html#X814B1C7B7AF17B79">3.10-2</a> <br /> for an LS-path <a href="chap3_mj.html#X855C478587112804">3.9-3</a> <br /> <code class="func">EndWeight</code> <a href="chap3_mj.html#X7D06353282BE96C6">3.9-6</a> <br /> <code class="func">ExchangeElement</code> <a href="chap3_mj.html#X8264626678D9F39A">3.4-5< <code class="func">ExtRepOfObj</code> <a href="chap3_mj.html#X8542B32A8206118C">3.5-3</a> <br <code class="func">Falpha</code>, for a crystal vector <a href="chap3_mj.html#X80A534637D8F3 for a module element <a href="chap3_mj.html#X7E67BE5D856C77DC">3.10-9</a> <br /> for a PBW-monomial <a href="chap3_mj.html#X8215C71E8361EE62">3.10-1</a> <br /> for an LS-path <a href="chap3_mj.html#X82EDAFAB7E81BD1F">3.9-2</a> <br /> <code class="func">GaussianBinomial</code> <a href="chap3_mj.html#X7F1A5A457926F3CF">3.2- <code class="func">GaussianFactorial</code> <a href="chap3_mj.html#X7EF34AC07BDFEF20">3.2 <code class="func">GaussNumber</code> <a href="chap3_mj.html#X7985B6A67A30FDA1">3.2-1</a> <br <code class="func">GenericModule</code> <a href="chap3_mj.html#X8680D0D67BACAE16">3.8-8</a> < <code class="func">GetBraidRelations</code> <a href="chap3_mj.html#X84138DD47BBEA4E0">3.4 <code class="func">HighestWeightModule</code>, for a quantized env. alg. <a href="chap3_mj.ht for a universal env. alg <a href="chap3_mj.html#X8707EE2C8145701F">3.11-3</a> <br /> <code class="func">HighestWeightsAndVectors</code> <a href="chap3_mj.html#X7EEEBA347A816 <code class="func">HWModuleByGenerator</code> <a href="chap3_mj.html#X7F0AED7A85D603A2">3 <code class="func">HWModuleByTensorProduct</code> <a href="chap3_mj.html#X7B080C0078370E <code class="func">InducedQEAModule</code> <a href="chap3_mj.html#X8565D4CD82EB2503">3.8- <code class="func">IrreducibleQuotient</code> <a href="chap3_mj.html#X7B00688F82AACDD0">3 <code class="func">IsomorphismOfTensorModules</code> <a href="chap3_mj.html#X78E533D2813 <code class="func">LengthOfWeylWord</code> <a href="chap3_mj.html#X792A49A8808D1C64">3.4- <code class="func">LongestWeylWord</code> <a href="chap3_mj.html#X83851E7D7ED84A48">3.4-3< <code class="func">LongWords</code> <a href="chap3_mj.html#X800BB9837DCF1DBD">3.4-7</a> <br /> <code class="func">LSSequence</code> <a href="chap3_mj.html#X820413E57DEDB0D1">3.9-4</a> <br /> <code class="func">MinusculeModule</code> <a href="chap3_mj.html#X7E1B059780BB2E09">3.8-1 <code class="func">MonomialElements</code> <a href="chap3_mj.html#X81631585816C4CCD">3.10 <code class="func">ObjByExtRep</code> <a href="chap3_mj.html#X7E3D93D47AFDE8D4">3.5-2</a> <br <code class="func">PBWElements</code> <a href="chap3_mj.html#X8233212A79D722FB">3.10-4</a> <b <code class="func">PositiveRootsInConvexOrder</code> <a href="chap3_mj.html#X7A5DFEAB7EC <code class="func">PositiveRootsNF</code> <a href="chap3_mj.html#X853E620A79D796E7">3.3-3< <code class="func">PrincipalMonomial</code> <a href="chap3_mj.html#X842A5CC07C3E5848">3.1 <code class="func">QEAAntiAutomorphism</code> <a href="chap3_mj.html#X79D886AB7B248F75">3 <code class="func">QEAAutomorphism</code> <a href="chap3_mj.html#X81214E9B8532B06F">3.6-2< <code class="func">QEAHomomorphism</code> <a href="chap3_mj.html#X8185FE54820AA950">3.6-1< <code class="func">QuantizedUEA</code> <a href="chap3_mj.html#X7C263EA87C6E4F8A">3.5-1</a> <a <code class="func">QuantumField</code> <a href="chap3_mj.html#X8748A60A7AB09B0C">3.1-1</a> <b <code class="func">QuantumParameter</code> <a href="chap3_mj.html#X7879B74F7C77E930">3.5- <code class="func">QUEAToUEAMap</code> <a href="chap3_mj.html#X7AD80E5C7E015859">3.11-4</a> < <code class="func">ReadModuleFromFile</code> <a href="chap3_mj.html#X7DD49D8282C516B9">3. <code class="func">ReadQEAFromFile</code> <a href="chap3_mj.html#X874B8E4A83180063">3.5-7< <code class="func">ReducedWordIterator</code> <a href="chap3_mj.html#X81FC70FA84F1B6E9">3 <code class="func">RMatrix</code> <a href="chap3_mj.html#X799E7D5981B9F14A">3.8-16</a> <br /> <code class="func">RootSystem</code> <a href="chap3_mj.html#X80D15C027BB8029B">3.3-1</a> <a hr <code class="func">SimpleRootsAsWeights</code> <a href="chap3_mj.html#X7A5BD2D77ED1BEDD"> <code class="func">SimpleSystemNF</code> <a href="chap3_mj.html#X7D2E78B678C73E69">3.3-4</ <code class="func">StringMonomial</code> <a href="chap3_mj.html#X7C04F75683D0A512">3.10-8< <code class="func">Strings</code> <a href="chap3_mj.html#X782174177D696504">3.10-6</a> <br /> <code class="func">TensorPower</code> <a href="chap3_mj.html#X8245FA64874E085D">3.7-1</a> <br <code class="func">TensorProductOfAlgebraModules</code> <a href="chap3_mj.html#X854FA09F <code class="func">TrivialAlgebraModule</code> <a href="chap3_mj.html#X87EBE47D86292754"> <code class="func">U2Module</code> <a href="chap3_mj.html#X7DCD17BF7B76E7CA">3.8-10</a> <br /> <code class="func">UEA</code> <a href="chap3_mj.html#X7E7B25307E6478CD">3.11-1</a> <br /> <code class="func">UnderlyingLieAlgebra</code> <a href="chap3_mj.html#X7CA021E28527763E"> <code class="func">UseTwistedHopfStructure</code> <a href="chap3_mj.html#X783144818681D2 <code class="func">WeightsAndVectors</code> <a href="chap3_mj.html#X7929063E7C428331">3.8 <code class="func">WeylWord</code> <a href="chap3_mj.html#X8573A4077DB4659F">3.9-5</a> <br /> <code class="func">WriteModuleToFile</code> <a href="chap3_mj.html#X87FF182B86367CC4">3.8 <code class="func">WriteQEAToFile</code> <a href="chap3_mj.html#X87C302567A9B2AD3">3.5-6</ <p> </p> </div> <div class="chlinkprevnextbot"> <a href="chap0_mj.html">[Top of Book]</a> <a href="chap0_mj.ht <div class="chlinkbot"><span class="chlink1">Goto Chapter: </span><a href="chap0_mj.html">Top< <hr /> <p class="foot">generated by <a href="http://www.math.rwth-aachen.de/~Frank.Luebeck/GAP </body> </html>
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