Geodesic
On quantization of the Semenov--Tian--Shansky Poisson bracket on simple algebraic groups
Algebra i analiz, Tome 18 (2006) no. 5, pp. 156-172.

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Let $G$ be a simple complex factorizable Poisson algebraic group. Let $\mathcal U_\hbar(\mathfrak g)$ be the corresponding quantum group. We study the $\mathcal U_\hbar(\mathfrak g)$-equivariant quantization $\mathcal C_\hbar[G]$ of the affine coordinate ring $\mathcal C[G]$ along the Semenov–Tian–Shansky bracket. For a simply connected group $G$, we give an elementary proof for the analog of the Kostant–Richardson theorem stating that $\mathcal C_\hbar[G]$ is a free module over its center.
Keywords: Poisson Lie manifolds, quantum groups, equivariant quantization. 
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A. Mudrov. On quantization of the Semenov--Tian--Shansky Poisson bracket on simple algebraic groups. Algebra i analiz, Tome 18 (2006) no. 5, pp. 156-172. http://geodesic.mathdoc.fr/item/AA_2006_18_5_a6/

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