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arXiv · 1011.5411

(Quasi-)Poisson enveloping algebras

Yan-Hong Yang·Yuan Yao·Yu Ye
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Abstract

We introduce the quasi-Poisson enveloping algebra and Poisson enveloping algebra for a non-commutative Poisson algebra. We prove that for a non-commutative Poisson algebra, the category of quasi-Poisson modules is equivalent to the category of left modules over its quasi-Poisson enveloping algebra, and the category of Poisson modules is equivalent to the category of left modules over its Poisson enveloping algebra.

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Yan-Hong Yang, Yuan Yao, Yu Ye. 2010-12-13. (Quasi-)Poisson enveloping algebras. https://arxiv.org/abs/1011.5411

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