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Title
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On (co)homology of Frobenius Poisson algebras
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Author
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Abstract
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| In this paper, we study Poisson (co)homology of a Frobenius Poisson algebra. More precisely, we show that there exists a duality between Poisson homology and Poisson cohomology of Frobenius Poisson algebras, similar to that between Hochschild homology and Hochschild cohomology of Frobenius algebras. Then we use the non-degenerate bilinear form on a unimodular Frobenius Poisson algebra to construct a Batalin-Vilkovisky structure on the Poisson cohomology ring making it into a Batalin-Vilkovisky algebra. |
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Language
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English
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Source (journal)
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Journal of K -- Theory
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Publication
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2014
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ISSN
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1865-2433
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DOI
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10.1017/IS014007026JKT276
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Volume/pages
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14
:2
(2014)
, p. 371-386
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ISI
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000343761200006
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Full text (Publisher's DOI)
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