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Quantum conjugacy classes of simple matrix groups

A. Mudrov
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Abstract

Let $G$ be a simple complex classical group and $\g$ its Lie algebra. Let $\U_\hbar(\g)$ be the Drinfeld-Jimbo quantization of the universal enveloping algebra $\U(\g)$. We construct an explicit $\U_\hbar(\g)$-equivariant quantization of conjugacy classes of $G$ with Levi subgroups as the stabilizers.

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A. Mudrov. 2004-12-30. Quantum conjugacy classes of simple matrix groups. https://arxiv.org/abs/math/0412538

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