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Cohomology structure for a Poisson algebra: I

Yan-Hong Bao

School of Mathematical Sciences, Anhui University, Hefei 230601, P. R. China

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and

Yu Ye

School of Mathematical Sciences, University of Sciences and Technology of China, Hefei 230026, P. R. China

Wu Wen-Tsun Key Laboratory of Mathematics, USTC, Chinese Academy of Sciences, Hefei 230026, P. R. China

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https://doi.org/10.1142/S0219498816500341Cited by:6 (Source: Crossref)

Abstract

We introduce quasi-Poisson cohomology groups for a Poisson algebra, which can be computed by its quasi-Poisson complex. Moreover, there exists a Grothendieck spectral sequence relating quasi-Poisson cohomology to Hochschild cohomology and Lie algebra cohomology.

Keywords:

AMSC: 17B63, 20G10

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