Tableaux realization of cuspidal modules for Simple Lie algebras
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Author(s): |
Total Authors: 3
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Affiliation: | [1] Univ Sao Paulo, Dept Math, BR-05315970 Sao Paulo, SP - Brazil
[2] Univ Calif Riverside, Dept Math, Riverside, CA 92521 - USA
[3] Rutgers State Univ, Dept Math, Piscataway, NJ 08854 - USA
Total Affiliations: 3
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Document type: | Journal article |
Source: | Journal of Algebra; v. 432, p. 252-279, JUN 15 2015. |
Web of Science Citations: | 1 |
Abstract | |
We give a classification of all irreducible completely pointed U-q(Sl(n+1)) modules over a characteristic zero field in which q is not a root of unity. This generalizes the classification result of Benkart, Britten and Lemire in the non-quantum case. We also show that any infinite-dimensional irreducible completely pointed U-q(Sl(n+1)) can be obtained from some irreducible completely pointed module over the quantized Weyl algebra A(n+1)(q). 2015 Elsevierdnc. All rights reserved. (AU) | |
FAPESP's process: | 10/50347-9 - Algebras, representations e applications |
Grantee: | Ivan Chestakov |
Support Opportunities: | Research Projects - Thematic Grants |
FAPESP's process: | 11/12079-5 - Representations of Kac-Moody Algebras and quantum groups |
Grantee: | Evan Andrew Wilson |
Support Opportunities: | Scholarships in Brazil - Post-Doctoral |