Quantum conjugacy classes of simple matrix groups

Details Quantum conjugacy classes of simple matrix groups Quantum conjugacy classes of simple matrix groups

2004-12-30

arxiv.org/abs/math/0412538v1

Mathematics

Quantum Algebra

33 pages, AMS LaTeX

Scientific paper

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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