Quantization of Poisson algebraic groups and Poisson homogeneous spaces

Pavel Etingof; David Kazhdan

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arXiv · q-alg/9510020

Quantization of Poisson algebraic groups and Poisson homogeneous spaces

Pavel Etingof·David Kazhdan

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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.

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BibTeX RIS

Pavel Etingof, David Kazhdan. 1995-11-08. Quantization of Poisson algebraic groups and Poisson homogeneous spaces. https://arxiv.org/abs/q-alg/9510020

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