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arXiv · 1109.1758

On quasi-Poisson Cohomology

Yan-Hong Bao·Yu Ye
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Abstract

Let $A$ be a Poisson algebra and $\Q(A)$ its quasi-Poisson enveloping algebra. In this paper, the Yoneda-Ext algebra $\Ext^*_{\Q(A)}(A, A)$, which we call the quasi-Poisson cohomology algebra of $A$, is investigated. We construct a projective resolution of $A$ as $\Q(A)$-modules, which enables to compute the quasi-Poisson cohomologies in a standard way. To simplify calculation, we also introduce the quasi-Poisson complex and apply to obtain quasi-Poisson cohomologies in some special cases.

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Yan-Hong Bao, Yu Ye. 2011-09-08. On quasi-Poisson Cohomology. https://arxiv.org/abs/1109.1758

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