  
  
  [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.
  
  [[20XLN01[120X] [16XL\"{u}beck, F. and Neunh\"{o}ffer, M.[116X, [17XGAPDoc, a GAP documentation meta-package[117X (2001).
  
  [[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.
  
  [[20XLus90[120X] [16XLusztig, G.[116X, [17XQuantum groups at roots of 1[117X, [18XGeom. Dedicata[118X, [19X35[119X, 1-3 (1990), 89--113.
  
  [[20XLus0a[120X]  [16XLusztig,  G.[116X,  [17XCanonical  bases  arising  from quantized enveloping algebras[117X, [18XJ. Amer. Math. Soc.[118X, [19X3[119X, 2 (1990a),
  447--498.
  
  [[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.
  
  [[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
