  
  
  [1XReferences[101X
  
  [[20XCar98[120X]  [16XCarter,  R.  W.[116X,  [17XRepresentations  of  simple  Lie algebras: modern
  variations   on   a   classical   theme[117X,   in  Algebraic  groups  and  their
  representations  (Cambridge,  1997),  Kluwer  Acad. Publ., Dordrecht (1998),
  151--173.
  
  [[20XCom06[120X] [16XCommittee, E.[116X, [17XA note on the paper: ``A survey of the work of George
  Lusztig''  by  R.  W. Carter [Nagoya Math. J. \bf 182 (2006), 1--45][117X, [18XNagoya
  Math. J.[118X, [19X183[119X (2006), i--ii.
  
  [[20XGra01[120X]  [16XGraaf,  W.  A.  d.[116X,  [17XComputing  with quantized enveloping algebras:
  PBW-type bases, highest-weight modules, R-matrices[117X, [18XJ. Symbolic Comput.[118X, [19X32[119X,
  5 (2001), 475--490.
  
  [[20XGra02[120X]   [16XGraaf,  W.  A.  d.[116X,  [17XConstructing  canonical  bases  of  quantized
  enveloping algebras[117X, [18XExperimental Mathematics[118X, [19X11[119X, 2 (2002), 161--170.
  
  [[20XHum90[120X]  [16XHumphreys,  J.  E.[116X, [17XReflection groups and Coxeter groups[117X, Cambridge
  University Press, Cambridge (1990).
  
  [[20XJan96[120X]  [16XJantzen,  J.  C.[116X, [17XLectures on Quantum Groups[117X, American Mathematical
  Society, Graduate Studies in Mathematics, [19X6[119X (1996).
  
  [[20XKas96[120X]  [16XKashiwara,  M.[116X,  [17XSimilarity  of  crystal bases[117X, in Lie algebras and
  their  representations  (Seoul,  1995),  Amer.  Math.  Soc.,  Providence, RI
  (1996), 177--186.
  
  [[20XLit94[120X]  [16XLittelmann,  P.[116X,  [17XA  Littlewood-Richardson  rule  for symmetrizable
  Kac-Moody algebras[117X, [18XInvent. Math.[118X, [19X116[119X, 1-3 (1994), 329--346.
  
  [[20XLit95[120X]  [16XLittelmann,  P.[116X, [17XPaths and root operators in representation theory[117X,
  [18XAnn. of Math. (2)[118X, [19X142[119X, 3 (1995), 499--525.
  
  [[20XLit98[120X] [16XLittelmann, P.[116X, [17XCones, crystals, and patterns[117X, [18XTransform. Groups[118X, [19X3[119X,
  2 (1998), 145--179.
  
  [[20XLN01[120X]  [16XL\"{u}beck,  F.  and Neunh\"{o}ffer, M.[116X, [17XGAPDoc, a GAP documentation
  meta-package[117X (2001).
  
  [[20XLus90[120X]  [16XLusztig,  G.[116X, [17XQuantum groups at roots of 1[117X, [18XGeom. Dedicata[118X, [19X35[119X, 1-3
  (1990), 89--113.
  
  [[20XLus92[120X]  [16XLusztig,  G.[116X, [17XIntroduction to quantized enveloping algebras[117X, in New
  developments  in  Lie  theory  and  their  applications  (C\'ordoba,  1989),
  Birkh\"auser Boston, Boston, MA (1992), 49--65.
  
  [[20XLus93[120X]  [16XLusztig,  G.[116X,  [17XIntroduction  to quantum groups[117X, Birkh\"auser Boston
  Inc., Boston, MA (1993).
  
  [[20XLus96[120X]  [16XLusztig,  G.[116X,  [17XBraid  group action and canonical bases[117X, [18XAdv. Math.[118X,
  [19X122[119X, 2 (1996), 237--261.
  
  [[20XLus0a[120X]  [16XLusztig,  G.[116X,  [17XCanonical  bases  arising  from quantized enveloping
  algebras[117X, [18XJ. Amer. Math. Soc.[118X, [19X3[119X, 2 (1990a), 447--498.
  
  [[20XRos91[120X]  [16XRosso,  M.[116X, [17XRepr\'esentations des groupes quantiques[117X, [18XAst\'erisque[118X,
  201-203  (1991),  Exp.\  No.\  744, 443--483 (1992), ((S\'eminaire Bourbaki,
  Vol.\ 1990/91)).
  
  [[20XSte01[120X]  [16XStembridge,  J.  R.[116X, [17XComputational aspects of root systems, Coxeter
  groups,   and   Weyl   characters[117X,   in  Interaction  of  combinatorics  and
  representation theory, Math. Soc. Japan, MSJ Mem., [19X11[119X, Tokyo (2001), 1--38.
  
  
  
  [32X
