On quantization of Semenov-Tian-Shansky Poisson bracket on simple algebraic groups
| dc.creator | Mudrov, A. | |
| dc.date | 2004-12-18 | |
| dc.date | 2005-09-19 | |
| dc.date.accessioned | 2026-07-07T06:18:08Z | |
| dc.date.available | 2026-07-07T06:18:08Z | |
| dc.description | Let $G$ be a simple complex factorizable Poisson Lie algebraic group. Let $\U_\hbar(\g)$ be the corresponding quantum group. We study $\U_\hbar(\g)$-equivariant quantization $\C_\hbar[G]$ of the affine coordinate ring $\C[G]$ along the Semenov-Tian-Shansky bracket. For a simply connected group $G$ we prove an analog of the Kostant-Richardson theorem stating that $\C_\hbar[G]$ is a free module over its center. | |
| dc.description | 17 pages, an error in a proof in Section 6.1 corrected | |
| dc.identifier | https://arxiv.org/abs/math/0412360 | |
| dc.identifier | http://arxiv.org/abs/math/0412360 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/94633 | |
| dc.subject | Quantum Algebra | |
| dc.title | On quantization of Semenov-Tian-Shansky Poisson bracket on simple algebraic groups | |
| dc.type | text |