Abstract
We show that to any Poisson manifold and, more generally, to any triangular Lie bialge-broid in the sense of Mackenzie and Xu, there correspond two differential Gerstenhaber algebras in duality, one of which is canonically equipped with an operator generating the graded Lie algebra bracket, i.e. with the structure of a Batalin-Vilkovisky algebra.
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Kosmann-Schwarzbach, Y. (1995). Exact Gerstenhaber Algebras and Lie Bialgebroids. In: Kersten, P.H.M., Krasil’Shchik, I.S. (eds) Geometric and Algebraic Structures in Differential Equations. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0179-7_10
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DOI: https://doi.org/10.1007/978-94-009-0179-7_10
Publisher Name: Springer, Dordrecht
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