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- W3100296802 abstract "We introduce for any Poisson algebra a bicomplex of free Poisson modules, and use it to show that the Poisson cohomology theory introduced in the paper [M. Flato, M. Gerstenhaber and A. A. Voronov, Cohomology and Deformation of Leibniz Pairs, Lett. Math. Phys. 34 (1995) 77--90] is given by certain derived functor. Moreover, by constructing a long exact sequence connecting Poisson cohomology groups and Yoneda-extension groups of certain quasi-Poisson modules, we provide a way to compute this Poisson cohomology via the Lie algebra cohomology and the Hochschild cohomology." @default.
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- W3100296802 date "2019-12-02" @default.
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- W3100296802 title "Cohomology structure for a Poisson algebra: II" @default.
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- W3100296802 doi "https://doi.org/10.1007/s11425-019-1591-6" @default.
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