Cohomology Ring of the Tensor Product of Poisson algebras
J. Korean Math. Soc.
Published online August 30, 2019
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 : 17B63, 18G60
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