✦ LIBER ✦
Special Bases of Irreducible Modules of the Quantized Universal Enveloping Algebra Uv(gl(n))
✍ Scribed by N.H. Xi
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 299 KB
- Volume
- 154
- Category
- Article
- ISSN
- 0021-8693
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✦ Synopsis
In this paper we construct a basis for an irreducible module of the quantized enveloping algebra (U_{r}(g /(n))) which is a (q)-analogue of the special basis of an irreducible (G L(n))-module introduced by C. de Concini and D. Kazhdan (Israel J. Math. 40, 1980, 275-290). We conjecture the basis is the dual basis of the canonical basis introduced by G. Lusztig (J. Amer. Math. Soc. 3, 1990, 447-498). . 1993 Academic Press. Inc.