<?xml version="1.0" encoding="ISO-8859-1"?> <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN" "DTD/xhtml1-strict.dtd"> <html xmlns="http://www.w3.org/1999/xhtml"> <head> <title>GAP (quagroup) - References</title> <meta http-equiv="content-type" content="text/html; charset=iso-8859-1" /> <meta name="generator" content="GAPDoc2HTML" /> <link rel="stylesheet" type="text/css" href="manual.css" /> </head> <body> <div class="pcenter"><table class="chlink"><tr><td class="chlink1">Goto Chapter: </td><td><a href="chap0.html">Top</a></td><td><a href="chap1.html">1</a></td><td><a href="chap2.html">2</a></td><td><a href="chap3.html">3</a></td><td><a href="chapBib.html">Bib</a></td><td><a href="chapInd.html">Ind</a></td></tr></table><br /></div> <p><a id="s0ss0" name="s0ss0"></a></p> <h3>References</h3> <p><a id="biBC98" name="biBC98"></a></p> <p> [<span style="color: #8e0000;">C98</span>] <b>Carter, R. W. </b> <i>Representations of simple Lie algebras: modern variations on a classical theme</i> in , <i>Algebraic groups and their representations (Cambridge, 1997)</i>, Kluwer Acad. Publ., Dordrecht, (1998), p. 151--173</p> <p><a id="biBC06" name="biBC06"></a></p> <p> [<span style="color: #8e0000;">C06</span>] <b>Committee, E. </b> <i>A note on the paper: ``A survey of the work of George Lusztig'' by R. W. Carter [Nagoya Math. J. \bf 182 (2006), 1--45; \refcno 2235338]</i>, Nagoya Math. J., <em>183</em>, (2006), p. i--ii</p> <p><a id="biBG01" name="biBG01"></a></p> <p> [<span style="color: #8e0000;">G01</span>] <b>Graaf, W. A. d. </b> <i>Computing with quantized enveloping algebras: PBW-type bases, highest-weight modules, $R$-matrices</i>, J. Symbolic Comput., <em>32</em> (5), (2001), p. 475--490</p> <p><a id="biBG02" name="biBG02"></a></p> <p> [<span style="color: #8e0000;">G02</span>] <b>Graaf, W. A. d. </b> <i>Constructing canonical bases of quantized enveloping algebras</i>, Experimental Mathematics, <em>11</em> (2), (2002), p. 161--170</p> <p><a id="biBH90" name="biBH90"></a></p> <p> [<span style="color: #8e0000;">H90</span>] <b>Humphreys, J. E. </b> <i>Reflection groups and Coxeter groups</i>, Cambridge University Press, Cambridge, (1990)</p> <p><a id="biBJ96" name="biBJ96"></a></p> <p> [<span style="color: #8e0000;">J96</span>] <b>Jantzen, J. C. </b> <i>Lectures on Quantum Groups</i>, American Mathematical Society, Graduate Studies in Mathematics, <em>6</em>, (1996)</p> <p><a id="biBK96" name="biBK96"></a></p> <p> [<span style="color: #8e0000;">K96</span>] <b>Kashiwara, M. </b> <i>Similarity of crystal bases</i> in , <i>Lie algebras and their representations (Seoul, 1995)</i>, Amer. Math. Soc., Providence, RI, (1996), p. 177--186</p> <p><a id="biBL94" name="biBL94"></a></p> <p> [<span style="color: #8e0000;">L94</span>] <b>Littelmann, P. </b> <i>A Littlewood-Richardson rule for symmetrizable Kac-Moody algebras</i>, Invent. Math., <em>116</em> (1-3), (1994), p. 329--346</p> <p><a id="biBL95" name="biBL95"></a></p> <p> [<span style="color: #8e0000;">L95</span>] <b>Littelmann, P. </b> <i>Paths and root operators in representation theory</i>, Ann. of Math. (2), <em>142</em> (3), (1995), p. 499--525</p> <p><a id="biBL98" name="biBL98"></a></p> <p> [<span style="color: #8e0000;">L98</span>] <b>Littelmann, P. </b> <i>Cones, crystals, and patterns</i>, Transform. Groups, <em>3</em> (2), (1998), p. 145--179</p> <p><a id="biBLN01" name="biBLN01"></a></p> <p> [<span style="color: #8e0000;">LN01</span>] <b>Lübeck, F. and Neunhöffer, M. </b> <i>GAPDoc, a GAP documentation meta-package</i>, (2001)</p> <p><a id="biBL90" name="biBL90"></a></p> <p> [<span style="color: #8e0000;">L90</span>] <b>Lusztig, G. </b> <i>Quantum groups at roots of $1$</i>, Geom. Dedicata, <em>35</em> (1-3), (1990), p. 89--113</p> <p><a id="biBL0a" name="biBL0a"></a></p> <p> [<span style="color: #8e0000;">L0a</span>] <b>Lusztig, G. </b> <i>Canonical bases arising from quantized enveloping algebras</i>, J. Amer. Math. Soc., <em>3</em> (2), (1990a), p. 447--498</p> <p><a id="biBL92" name="biBL92"></a></p> <p> [<span style="color: #8e0000;">L92</span>] <b>Lusztig, G. </b> <i>Introduction to quantized enveloping algebras</i> in , <i>New developments in Lie theory and their applications (Córdoba, 1989)</i>, Birkhäuser Boston, Boston, MA, (1992), p. 49--65</p> <p><a id="biBL93" name="biBL93"></a></p> <p> [<span style="color: #8e0000;">L93</span>] <b>Lusztig, G. </b> <i>Introduction to quantum groups</i>, Birkhäuser Boston Inc., Boston, MA, (1993)</p> <p><a id="biBL96" name="biBL96"></a></p> <p> [<span style="color: #8e0000;">L96</span>] <b>Lusztig, G. </b> <i>Braid group action and canonical bases</i>, Adv. Math., <em>122</em> (2), (1996), p. 237--261</p> <p><a id="biBR91" name="biBR91"></a></p> <p> [<span style="color: #8e0000;">R91</span>] <b>Rosso, M. </b> <i>Représentations des groupes quantiques</i>, Astérisque (201-203), (1991), p. Exp.\ No.\ 744, 443--483 (1992)<br /> (Séminaire Bourbaki, Vol.\ 1990/91)<br /> </p> <p><a id="biBS01" name="biBS01"></a></p> <p> [<span style="color: #8e0000;">S01</span>] <b>Stembridge, J. R. </b> <i>Computational aspects of root systems, Coxeter groups, and Weyl characters</i> in , <i>Interaction of combinatorics and representation theory</i>, Math. Soc. Japan, MSJ Mem., <em>11</em>, Tokyo, (2001), p. 1--38</p> <p> </p> <div class="pcenter"> <table class="chlink"><tr><td><a href="chap0.html">Top of Book</a></td><td><a href="chap3.html">Previous Chapter</a></td><td><a href="chapInd.html">Next Chapter</a></td></tr></table> <br /> <div class="pcenter"><table class="chlink"><tr><td class="chlink1">Goto Chapter: </td><td><a href="chap0.html">Top</a></td><td><a href="chap1.html">1</a></td><td><a href="chap2.html">2</a></td><td><a href="chap3.html">3</a></td><td><a href="chapBib.html">Bib</a></td><td><a href="chapInd.html">Ind</a></td></tr></table><br /></div> </div> <hr /> <p class="foot">generated by <a href="http://www.math.rwth-aachen.de/~Frank.Luebeck/GAPDoc">GAPDoc2HTML</a></p> </body> </html>