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<title>GAP (quagroup) - References</title>
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<h3>References</h3>


<p><a id="biBC98" name="biBC98"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Car98</span>]   <b class='BibAuthor'>Carter, R. W.</b>,
 <i class='BibTitle'>Representations of simple Lie algebras: modern variations on
              a classical theme</i>,
  in  <i class='BibBooktitle'>Algebraic groups and their representations (Cambridge,
      1997)</i>,
 <span class='BibPublisher'>Kluwer Acad. Publ.</span>,
 <span class='BibAddress'>Dordrecht</span>
 (<span class='BibYear'>1998</span>),
 <span class='BibPages'>151--173</span>.
</p>


<p><a id="biBC06" name="biBC06"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Com06</span>]   <b class='BibAuthor'>Committee, E.</b>,
 <i class='BibTitle'>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]</i>,
 <span class='BibJournal'>Nagoya Math. J.</span>,
 <em class='BibVolume'>183</em>
 (<span class='BibYear'>2006</span>),
 <span class='BibPages'>i--ii</span>.
</p>


<p><a id="biBG01" name="biBG01"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Gra01</span>]   <b class='BibAuthor'>Graaf, W. A. d.</b>,
 <i class='BibTitle'>Computing with quantized enveloping algebras: 
  PBW-type bases, highest-weight modules,
      R-matrices</i>,
 <span class='BibJournal'>J. Symbolic Comput.</span>,
 <em class='BibVolume'>32</em> (<span class='BibNumber'>5</span>)
 (<span class='BibYear'>2001</span>),
 <span class='BibPages'>475--490</span>.
</p>


<p><a id="biBG02" name="biBG02"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Gra02</span>]   <b class='BibAuthor'>Graaf, W. A. d.</b>,
 <i class='BibTitle'>Constructing canonical bases of quantized enveloping algebras</i>,
 <span class='BibJournal'>Experimental Mathematics</span>,
 <em class='BibVolume'>11</em> (<span class='BibNumber'>2</span>)
 (<span class='BibYear'>2002</span>),
 <span class='BibPages'>161--170</span>.
</p>


<p><a id="biBH90" name="biBH90"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Hum90</span>]   <b class='BibAuthor'>Humphreys, J. E.</b>,
 <i class='BibTitle'>Reflection groups and Coxeter groups</i>,
 <span class='BibPublisher'>Cambridge University Press</span>,
 <span class='BibAddress'>Cambridge</span>
 (<span class='BibYear'>1990</span>).
</p>


<p><a id="biBJ96" name="biBJ96"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Jan96</span>]   <b class='BibAuthor'>Jantzen, J. C.</b>,
 <i class='BibTitle'>Lectures on Quantum Groups</i>,
 <span class='BibPublisher'>American Mathematical Society</span>,
 <span class='BibSeries'>Graduate Studies in Mathematics</span>,
 <em class='BibVolume'>6</em>
 (<span class='BibYear'>1996</span>).
</p>


<p><a id="biBK96" name="biBK96"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Kas96</span>]   <b class='BibAuthor'>Kashiwara, M.</b>,
 <i class='BibTitle'>Similarity of crystal bases</i>,
  in  <i class='BibBooktitle'>Lie algebras and their representations (Seoul, 1995)</i>,
 <span class='BibPublisher'>Amer. Math. Soc.</span>,
 <span class='BibAddress'>Providence, RI</span>
 (<span class='BibYear'>1996</span>),
 <span class='BibPages'>177--186</span>.
</p>


<p><a id="biBL94" name="biBL94"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Lit94</span>]   <b class='BibAuthor'>Littelmann, P.</b>,
 <i class='BibTitle'>A Littlewood-Richardson rule for symmetrizable
              Kac-Moody algebras</i>,
 <span class='BibJournal'>Invent. Math.</span>,
 <em class='BibVolume'>116</em> (<span class='BibNumber'>1-3</span>)
 (<span class='BibYear'>1994</span>),
 <span class='BibPages'>329--346</span>.
</p>


<p><a id="biBL95" name="biBL95"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Lit95</span>]   <b class='BibAuthor'>Littelmann, P.</b>,
 <i class='BibTitle'>Paths and root operators in representation theory</i>,
 <span class='BibJournal'>Ann. of Math. (2)</span>,
 <em class='BibVolume'>142</em> (<span class='BibNumber'>3</span>)
 (<span class='BibYear'>1995</span>),
 <span class='BibPages'>499--525</span>.
</p>


<p><a id="biBL98" name="biBL98"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Lit98</span>]   <b class='BibAuthor'>Littelmann, P.</b>,
 <i class='BibTitle'>Cones, crystals, and patterns</i>,
 <span class='BibJournal'>Transform. Groups</span>,
 <em class='BibVolume'>3</em> (<span class='BibNumber'>2</span>)
 (<span class='BibYear'>1998</span>),
 <span class='BibPages'>145--179</span>.
</p>


<p><a id="biBLN01" name="biBLN01"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>LN01</span>]   <b class='BibAuthor'>L\"{u}beck, F. and Neunh\"{o}ffer, M.</b>,
 <i class='BibTitle'>GAPDoc, a GAP documentation meta-package</i>
 (<span class='BibYear'>2001</span>).
</p>


<p><a id="biBL90" name="biBL90"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Lus90</span>]   <b class='BibAuthor'>Lusztig, G.</b>,
 <i class='BibTitle'>Quantum groups at roots of 1</i>,
 <span class='BibJournal'>Geom. Dedicata</span>,
 <em class='BibVolume'>35</em> (<span class='BibNumber'>1-3</span>)
 (<span class='BibYear'>1990</span>),
 <span class='BibPages'>89--113</span>.
</p>


<p><a id="biBL92" name="biBL92"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Lus92</span>]   <b class='BibAuthor'>Lusztig, G.</b>,
 <i class='BibTitle'>Introduction to quantized enveloping algebras</i>,
  in  <i class='BibBooktitle'>New developments in Lie theory and their applications
              (C\'ordoba, 1989)</i>,
 <span class='BibPublisher'>Birkh\"auser Boston</span>,
 <span class='BibAddress'>Boston, MA</span>
 (<span class='BibYear'>1992</span>),
 <span class='BibPages'>49--65</span>.
</p>


<p><a id="biBL93" name="biBL93"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Lus93</span>]   <b class='BibAuthor'>Lusztig, G.</b>,
 <i class='BibTitle'>Introduction to quantum groups</i>,
 <span class='BibPublisher'>Birkh\"auser Boston Inc.</span>,
 <span class='BibAddress'>Boston, MA</span>
 (<span class='BibYear'>1993</span>).
</p>


<p><a id="biBL96" name="biBL96"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Lus96</span>]   <b class='BibAuthor'>Lusztig, G.</b>,
 <i class='BibTitle'>Braid group action and canonical bases</i>,
 <span class='BibJournal'>Adv. Math.</span>,
 <em class='BibVolume'>122</em> (<span class='BibNumber'>2</span>)
 (<span class='BibYear'>1996</span>),
 <span class='BibPages'>237--261</span>.
</p>


<p><a id="biBL0a" name="biBL0a"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Lus0a</span>]   <b class='BibAuthor'>Lusztig, G.</b>,
 <i class='BibTitle'>Canonical bases arising from quantized enveloping algebras</i>,
 <span class='BibJournal'>J. Amer. Math. Soc.</span>,
 <em class='BibVolume'>3</em> (<span class='BibNumber'>2</span>)
 (<span class='BibYear'>1990a</span>),
 <span class='BibPages'>447--498</span>.
</p>


<p><a id="biBR91" name="biBR91"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Ros91</span>]   <b class='BibAuthor'>Rosso, M.</b>,
 <i class='BibTitle'>Repr\'esentations des groupes quantiques</i>,
 <span class='BibJournal'>Ast\'erisque</span> (<span class='BibNumber'>201-203</span>)
 (<span class='BibYear'>1991</span>),
 <span class='BibPages'>Exp.\ No.\ 744, 443--483 (1992)</span><br />
(<span class='BibNote'>S\'eminaire Bourbaki, Vol.\ 1990/91</span>).
</p>


<p><a id="biBS01" name="biBS01"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Ste01</span>]   <b class='BibAuthor'>Stembridge, J. R.</b>,
 <i class='BibTitle'>Computational aspects of root systems, Coxeter groups, and
              Weyl characters</i>,
  in  <i class='BibBooktitle'>Interaction of combinatorics and representation
      theory</i>,
 <span class='BibPublisher'>Math. Soc. Japan</span>,
 <span class='BibSeries'>MSJ Mem.</span>,
 <em class='BibVolume'>11</em>,
 <span class='BibAddress'>Tokyo</span>
 (<span class='BibYear'>2001</span>),
 <span class='BibPages'>1--38</span>.
</p>

<p> </p>


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