Cohomology ring of the tensor product of Poisson algebras
J. Korean Math. Soc. 2020 Vol. 57, No. 1, 113-129
Published online January 1, 2020
Can Zhu
University of Shanghai for Science and Technology
Abstract : 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.
Keywords : Poisson algebra, tensor product, Gerstenhaber algebra
MSC numbers : Primary 17B63, 18G60
Supported by : This work was nancially supported by NSFC #11771085 and #11871125, and by Shanghai Science and Technology Program #19ZR1434600.
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