Lie and Jordan algebras, their representations and generalizations
| Full text | |
| Author(s): |
Total Authors: 3
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| Affiliation: | [1] Coll Charleston, Dept Math, Grad Sch, Charleston, SC 29424 - USA
[2] Univ Sao Paulo, Dept Math, Sao Paulo - Brazil
[3] N Carolina State Univ, Dept Math, Raleigh, NC 27695 - USA
Total Affiliations: 3
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| Document type: | Journal article |
| Source: | Journal of Algebra; v. 424, p. 390-415, FEB 15 2015. |
| Web of Science Citations: | 1 |
| Abstract | |
We consider imaginary Verma modules for quantum affine algebra U-q((g) over cap), where (g) over cap has Coxeter-Dynkin diagram of ADE type, and construct Kashiwara type operators and the Kashiwara algebra K-q. We show that a certain quotient N-q(-) of U-q((g) over cap) is a simple K-q-module. (C) 2014 Elsevier Inc. All rights reserved. (AU) | |
| FAPESP's process: | 14/09310-5 - Algebraic structures and their representations |
| Grantee: | Vyacheslav Futorny |
| Support Opportunities: | Research Projects - Thematic Grants |