On representations of quantum groups $U_{q}(f_{m}(K,H))$
| dc.creator | Tang, Xin | |
| dc.creator | Xu, Yunge | |
| 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 | We construct families of irreducible representations for a class of quantum groups $U_{q}(f_{m}(K,H)$. First, we realize these quantum groups as Hyperbolic algebras. Such a realization yields natural families of irreducible weight representations for $U_{q}(f_{m}(K,H))$. Second, we study the relationship between $U_{q}(f_{m}(K,H))$ and $U_{q}(f_{m}(K))$. As a result, any finite dimensional weight representation of $U_{q}(f_{m}(K,H))$ is proved to be completely reducible. Finally, we study the Whittaker model for the center of $U_{q}(f_{m}(K,H))$, and a classification of all irreducible Whittaker representations of $U_{q}(f_{m}(K,H))$ is obtained. | |
| dc.description | Some minor modifications to the first version | |
| dc.identifier | https://arxiv.org/abs/math/0610895 | |
| dc.identifier | http://arxiv.org/abs/math/0610895 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/157430 | |
| dc.subject | Representation Theory | |
| dc.subject | 17A36, 17B40, 17B30 | |
| dc.title | On representations of quantum groups $U_{q}(f_{m}(K,H))$ | |
| dc.type | text |