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On the (co)homology of Frobenius Poisson algebras

In this paper, we study the Poisson (co)homology of a Frobenius Poisson algebra. More precisely, we show that there exists a duality between the Poisson homology and the Poisson cohomology, similar to the duality between the Hochschild homology and the Hochschild cohomology of a Frobenius algebra. Using the non-degenerated bilinear form on a Frobenius algebra we construct a Batalin-Vilkovisky structure on the Poisson cohomology ring of a class of Frobenius Poisson algebras.

preprint2014arXivOpen access
Can ZhuFred Van OystaeyenYinhuo Zhang
math.RA
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Can ZhuFred Van OystaeyenYinhuo Zhang

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