Quantization of Poisson algebraic groups and Poisson homogeneous spaces

Details Quantization of Poisson algebraic groups and Poisson homogeneous spaces Quantization of Poisson algebraic groups and Poisson homogeneous spaces

1995-10-20

arxiv.org/abs/q-alg/9510020v2

Mathematics

Quantum Algebra

9 pages, amstex. The revised version contains a new reference

Scientific paper

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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