COHOMOLOGY RING OF THE TENSOR PRODUCT OF POISSON ALGEBRAS

In this paper, we study the Poisson cohomology ring of the tensor product of Poisson algebras. Explicitly, it is proved that the Poisson cohomology ring of tensor product of two Poisson algebras is isomorphic to the tensor product of the respective Poisson cohomology ring of these two Poisson algebr...

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Bibliographic Details
Published inJournal of the Korean Mathematical Society Vol. 57; no. 1; pp. 113 - 129
Main Author Zhu, Can
Format Journal Article
LanguageKorean
Published 2020
Subjects
Gerstenhaber algebra
Poisson algebra
tensor product
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Summary:In this paper, we study the Poisson cohomology ring of the tensor product of Poisson algebras. Explicitly, it is proved that the Poisson cohomology ring of tensor product of two Poisson algebras is isomorphic to the tensor product of the respective Poisson cohomology ring of these two Poisson algebras as Gerstenhaber algebras.
Bibliography:KISTI1.1003/JNL.JAKO202008662572681
ISSN:0304-9914