Quantum conjugacy classes of simple matrix groups

A. Mudrov

Quantum conjugacy classes of simple matrix groups

Quantum Algebra 2007-05-23 v1

Authors: A. Mudrov

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.

Keywords

conjugacy classes in groups quantum groups lie algebra

Cite

@article{arxiv.math/0412538,
  title  = {Quantum conjugacy classes of simple matrix groups},
  author = {A. Mudrov},
  journal= {arXiv preprint arXiv:math/0412538},
  year   = {2007}
}

Comments

33 pages, AMS LaTeX

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