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Communications in Algebra Volume 48, 2020 - Issue 10
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A note on the duality between Poisson homology and cohomology

Jiafeng LüDepartment of Mathematics, Zhejiang Normal University, Jinhua, China;
,
Xingting WangDepartment of Mathematics, Howard University, Washington, DC, USA; Correspondence[email protected]
ORCID Iconhttp://orcid.org/0000-0002-6485-0472
ORCID Icon &
Guangbin ZhuangDepartment of Mathematics, University of Southern California, Los Angeles, California, USA
Pages 4170-4175 | Received 14 Oct 2019, Accepted 11 Apr 2020, Published online: 04 May 2020
 
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Abstract

For a Poisson algebra A, by studying its universal enveloping algebra Ape, we prove a duality theorem between Poisson homology and cohomology of A.

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