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Cohomology and Deformation of Leibniz Pairs

M. Flato, M. Gerstenhaber, A. A. Voronov

q-algarXiv:q-alg/9502006

Abstract

Cohomology and deformation theories are developed for Poisson algebras starting with the more general concept of a Leibniz pair, namely of an associative algebra A together with a Lie algebra L mapped into the derivations of A. A bicomplex (with both Hochschild and Chevalley-Eilenberg cohomologies) is essential.

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