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<h3>References</h3>

<a id="biBC98" name="biBC98"></a>

[Car98] Carter, R. W.,
Representations of simple Lie algebras: modern variations on
 a classical theme,
 in Algebraic groups and their representations (Cambridge,
 1997),
Kluwer Acad. Publ.,
Dordrecht
(1998),
151--173.


<a id="biBC06" name="biBC06"></a>

[Com06] Committee, E.,
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],
Nagoya Math. J.,
183
(2006),
i--ii.


<a id="biBG01" name="biBG01"></a>

[Gra01] Graaf, W. A. d.,
Computing with quantized enveloping algebras:
 PBW-type bases, highest-weight modules,
 \(R\)-matrices,
J. Symbolic Comput.,
32 (5)
(2001),
475--490.


<a id="biBG02" name="biBG02"></a>

[Gra02] Graaf, W. A. d.,
Constructing canonical bases of quantized enveloping algebras,
Experimental Mathematics,
11 (2)
(2002),
161--170.


<a id="biBH90" name="biBH90"></a>

[Hum90] Humphreys, J. E.,
Reflection groups and Coxeter groups,
Cambridge University Press,
Cambridge
(1990).


<a id="biBJ96" name="biBJ96"></a>

[Jan96] Jantzen, J. C.,
Lectures on Quantum Groups,
American Mathematical Society,
Graduate Studies in Mathematics,
6
(1996).


<a id="biBK96" name="biBK96"></a>

[Kas96] Kashiwara, M.,
Similarity of crystal bases,
 in Lie algebras and their representations (Seoul, 1995),
Amer. Math. Soc.,
Providence, RI
(1996),
177--186.


<a id="biBL94" name="biBL94"></a>

[Lit94] Littelmann, P.,
A Littlewood-Richardson rule for symmetrizable
 Kac-Moody algebras,
Invent. Math.,
116 (1-3)
(1994),
329--346.


<a id="biBL95" name="biBL95"></a>

[Lit95] Littelmann, P.,
Paths and root operators in representation theory,
Ann. of Math. (2),
142 (3)
(1995),
499--525.


<a id="biBL98" name="biBL98"></a>

[Lit98] Littelmann, P.,
Cones, crystals, and patterns,
Transform. Groups,
3 (2)
(1998),
145--179.


<a id="biBLN01" name="biBLN01"></a>

[LN01] L\"{u}beck, F. and Neunh\"{o}ffer, M.,
GAPDoc, a GAP documentation meta-package
(2001).


<a id="biBL90" name="biBL90"></a>

[Lus90] Lusztig, G.,
Quantum groups at roots of \(1\),
Geom. Dedicata,
35 (1-3)
(1990),
89--113.


<a id="biBL92" name="biBL92"></a>

[Lus92] Lusztig, G.,
Introduction to quantized enveloping algebras,
 in New developments in Lie theory and their applications
 (C\'ordoba, 1989),
Birkh\"auser Boston,
Boston, MA
(1992),
49--65.


<a id="biBL93" name="biBL93"></a>

[Lus93] Lusztig, G.,
Introduction to quantum groups,
Birkh\"auser Boston Inc.,
Boston, MA
(1993).


<a id="biBL96" name="biBL96"></a>

[Lus96] Lusztig, G.,
Braid group action and canonical bases,
Adv. Math.,
122 (2)
(1996),
237--261.


<a id="biBL0a" name="biBL0a"></a>

[Lus0a] Lusztig, G.,
Canonical bases arising from quantized enveloping algebras,
J. Amer. Math. Soc.,
3 (2)
(1990a),
447--498.


<a id="biBR91" name="biBR91"></a>

[Ros91] Rosso, M.,
Repr\'esentations des groupes quantiques,
Ast\'erisque ('>201-203)
(1991),
Exp.\ No.\ 744, 443--483 (1992) 
(S\'eminaire Bourbaki, Vol.\ 1990/91).


<a id="biBS01" name="biBS01"></a>

[Ste01] Stembridge, J. R.,
Computational aspects of root systems, Coxeter groups, and
 Weyl characters,
 in Interaction of combinatorics and representation
 theory,
Math. Soc. Japan,
MSJ Mem.,
11,
Tokyo
(2001),
1--38.


 

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