Constructing irreducible representations of quantum groups $U_{q}(f_{m}(K))$
| dc.creator | Tang, Xin | |
| dc.date | 2006-10-29 | |
| dc.date | 2008-03-26 | |
| dc.date.accessioned | 2026-07-07T09:28:22Z | |
| dc.date.available | 2026-07-07T09:28:22Z | |
| dc.description | In this paper, we construct families of irreducible representations for a class of quantum groups $U_{q}(f_{m}(K))$. First, we give a natural construction of irreducible weight representations for $U_{q}(f_{m}(K))$ using methods in spectral theory developed by Rosenberg. Second, we study the Whittaker model for the center of $U_{q}(f_{m}(K))$. As a result, the structure of Whittaker representations is determined, and all irreducible Whittaker representations are explicitly constructed. Finally, we prove that the annihilator of a Whittaker representation is centrally generated. | |
| dc.description | 19 pages, some modifications made to the first version | |
| dc.identifier | https://arxiv.org/abs/math/0610896 | |
| dc.identifier | http://arxiv.org/abs/math/0610896 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/157431 | |
| dc.subject | Representation Theory | |
| dc.subject | 17B37, 16B30, 16B35 | |
| dc.title | Constructing irreducible representations of quantum groups $U_{q}(f_{m}(K))$ | |
| dc.type | text |