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Poisson structures of multi-parameter symplectic and Euclidean spaces

Sei-Qwon Oh
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Abstract

A class of Poisson algebras considered as a Poisson version of the multiparameter quantized coordinate rings of symplectic and Euclidean $2n$-spaces is constructed and the prime Poisson ideals and the symplectic ideals of these Poisson algebras are described. As a result, it is shown that the multiparameter quantized symplectic and Euclidean $2n$-spaces are topological quotients of their classical spaces.

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Sei-Qwon Oh. 2003-08-06. Poisson structures of multi-parameter symplectic and Euclidean spaces. https://arxiv.org/abs/math/0308047

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