| Full text | |
| Author(s): |
Total Authors: 2
|
| Affiliation: | [1] Univ Sao Paulo, Inst Matemat & Estat, Sao Paulo - Brazil
[2] Stanford Univ, Dept Math, Stanford, CA 94305 - USA
Total Affiliations: 2
|
| Document type: | Journal article |
| Source: | Journal of Algebra; v. 357, p. 69-93, MAY 1 2012. |
| Web of Science Citations: | 10 |
| Abstract | |
We introduce a new family of twisted generalized Weyl algebras, called multiparameter twisted Weyl algebras, for which we parametrize all simple quotients of a certain kind. Both Jordan's simple localization of the multiparameter quantized Weyl algebra and Hayashi's q-analog of the Weyl algebra are special cases of this construction. We classify all simple weight modules over any multiparameter twisted Weyl algebra. Extending results by Benkart and Ondrus, we also describe all Whittaker pairs up to isomorphism over a class of twisted generalized Weyl algebras which includes the multiparameter twisted Weyl algebras. (C) 2011 Elsevier Inc. All rights reserved. (AU) | |
| FAPESP's process: | 08/10688-1 - Galois orders, twisted generalized Weyl algebras and their representations |
| Grantee: | Jonas Torbjorn Hartwig |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| FAPESP's process: | 05/60337-2 - Lie and Jordan algebras, their representations and generalizations |
| Grantee: | Ivan Chestakov |
| Support Opportunities: | Research Projects - Thematic Grants |