Crystal bases for

Author:
Yi Ming Zou

Journal:
Proc. Amer. Math. Soc. **127** (1999), 2213-2223

MSC (1991):
Primary 17B37; Secondary 81R59, 17B70

DOI:
https://doi.org/10.1090/S0002-9939-99-04821-2

Published electronically:
March 23, 1999

MathSciNet review:
1486756

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Abstract | References | Similar Articles | Additional Information

Abstract: A construction of the crystal bases for the quantized enveloping algebra of is discussed.

**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:
https://doi.org/10.1090/S0002-9939-99-04821-2

Received by editor(s):
February 21, 1997

Received by editor(s) in revised form:
October 20, 1997

Published electronically:
March 23, 1999

Communicated by:
Roe Goodman

Article copyright:
© Copyright 1999
American Mathematical Society