Quantization of Poisson algebraic groups and Poisson homogeneous spaces
q-alg
2008-02-03 v2 Quantum Algebra
Abstract
This paper consists of two parts. In the first part we show that any Poisson algebraic group over a field of characteristic zero and any Poisson Lie group admits a local quantization. This answers positively a question of Drinfeld. In the second part we apply our techniques of quantization to obtain some nontrivial examples of quantization of Poisson homogeneous spaces.
Keywords
Cite
@article{arxiv.q-alg/9510020,
title = {Quantization of Poisson algebraic groups and Poisson homogeneous spaces},
author = {Pavel Etingof and David Kazhdan},
journal= {arXiv preprint arXiv:q-alg/9510020},
year = {2008}
}
Comments
9 pages, amstex. The revised version contains a new reference