Cohomology structure for a Poisson algebra: I-Reference-Cited by-同舟云学术

Cohomology structure for a Poisson algebra: I

Published:2015-10-06 Issue:02 Volume:15 Page:1650034
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Bao Yan-Hong¹,Ye Yu²³

Affiliation:

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

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

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

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498816500341

Reference18 articles.

1. Poisson structures on moduli spaces of representations

2. Ring theory from symplectic geometry

3. Cohomology and deformation of Leibniz pairs

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