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http://hdl.handle.net/1942/17233
Title: | On (co)homology of Frobenius Poisson algebras | Authors: | Zhu, Can Van Oystaeyen, Fred ZHANG, Yinhuo |
Issue Date: | 2014 | Source: | Journal of K-Theory, 14 (2), p. 371-386 | Abstract: | 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. | Keywords: | Poisson algebra; Frobenius algebra; Poisson (co)homology; duality; BV algebra. | Document URI: | http://hdl.handle.net/1942/17233 | Link to publication/dataset: | http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=9363554&fulltextType=RA&fileId=S1865243314000312 | ISSN: | 1865-2433 | DOI: | 10.1017/is014007026jkt276 | Rights: | Copyright © ISOPP 2014. | Category: | A1 | Type: | Journal Contribution |
Appears in Collections: | Research publications |
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On (co)homology of Frobenius Poisson algebras.pdf Restricted Access | Published version | 153.02 kB | Adobe PDF | View/Open Request a copy |
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