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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Irreducible completely pointed modules of quantum groups of type A

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Author(s):
Futorny, Vyacheslav [1] ; Hartwig, Jonas [2] ; Wilson, Evan [3]
Total Authors: 3
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
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