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06 July 2020
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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
AbstractLet $G$ 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
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