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Crystal bases for
Author(s):
Yi
Ming
Zou
Journal:
Proc. Amer. Math. Soc.
127
(1999),
2213-2223.
MSC (1991):
Primary 17B37;
Secondary 81R59, 17B70
Posted:
March 23, 1999
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Abstract:
A construction of the crystal bases for the quantized enveloping algebra of is discussed.
References:
- 1.
- V. G. Drinfeld, Quantum groups, Proc. Int. Cong. Math., Berkeley, vol. I, 1986, pp. 789-820. MR 89f:17017
- 2.
- R. Floreanini, D. A. Leites, and L. Vinet, On the defining relations of quantum superalgebras, Lett. Math. Phys. 23 (1991), 127-131.
- 3.
- R. Floreanini, V. P. Spiridonov, and L. Vinet,
-Oscillator realizations of the quantum superalgebras and , Commun. Math. Phys. 137 (1991), 149-160. - 4.
- M. Jimbo, A
-difference analog of and the Yang-Baxter equation, Lett. Math. Phys. 10 (1985), 63-69. - 5.
- V. Kac, Lie superalgebras, Adv. Math. 26 (1977), 8-96. MR 58:5803
- 6.
- -, Representations of classical Lie superalgebras, Lecture Notes in Math., vol. 676, 1977, pp. 579-626. MR 80f:17006
- 7.
- M. Kashiwara, Crystalizing the
-analogue of universal enveloping algebras, Commun. Math. Phys. 133 (1990), 249-260. MR 92b:17018 - 8.
- -, On crystal bases of the
-analogue of universal enveloping algebras, Duke Math. J. 63 (2) (1991), 465-516. MR 93b:17045 - 9.
- Y. M. Zou, Finite dimensional representations of
, Proc. of AMS 125(6) (1997), 1607-1616. MR 97g:17019
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Additional Information:
Yi
Ming
Zou
Affiliation:
Department of Mathematical Sciences, University of Wisconsin-Milwaukee, Milwaukee, Wisconsin 53201
Email:
ymzou@csd.uwm.edu
DOI:
10.1090/S0002-9939-99-04821-2
PII:
S 0002-9939(99)04821-2
Received by editor(s):
February 21, 1997
Received by editor(s) in revised form:
October 20, 1997
Posted:
March 23, 1999
Communicated by:
Roe Goodman
Copyright of article:
Copyright
1999,
American Mathematical Society
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