Irreducible completely pointed modules of quantum groups of type A

Author(s)

Futorny, Vyacheslav ^[1] ; Hartwig, Jonas ^[2] ; Wilson, Evan ^[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

• 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