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On quantization of Semenov-Tian-Shansky Poisson bracket on simple algebraic groups | A. Mudrov
; | Date: |
18 Dec 2004 | Subject: | Quantum Algebra | math.QA | Abstract: | 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. | Source: | arXiv, math.QA/0412360 | Services: | Forum | Review | PDF | Favorites |
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