Hopf Structures on Ambiskew Polynomial Rings
| dc.creator | Hartwig, Jonas T. | |
| dc.date | 2005-10-18 | |
| dc.date.accessioned | 2026-07-07T09:28:22Z | |
| dc.date.available | 2026-07-07T09:28:22Z | |
| dc.description | We derive necessary and sufficient conditions for an ambiskew polynomial ring to have a Hopf algebra structure of a certain type. This construction generalizes many known Hopf algebras, for example U(sl2), U_q(sl2) and the enveloping algebra of the 3-dimensional Heisenberg Lie algebra. In a torsion-free case we describe the finite-dimensional simple modules, in particular their dimensions and prove a Clebsch-Gordan decomposition theorem for the tensor product of two simple modules. We construct a Casimir type operator and prove that any finite-dimensional weight module is semisimple. | |
| dc.description | 23 pages | |
| dc.identifier | https://arxiv.org/abs/math/0510375 | |
| dc.identifier | http://arxiv.org/abs/math/0510375 | |
| dc.identifier | Journal of Pure and Applied Algebra, 212 Issue 4 (2008), 863-883. | |
| dc.identifier | doi:10.1016/j.jpaa.2007.07.010 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/157428 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Primary 16S36; Secondary 16W30, 17B37 | |
| dc.title | Hopf Structures on Ambiskew Polynomial Rings | |
| dc.type | text |