Cohomology and Deformation of Leibniz Pairs

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.

15 pages

References in corpus (1)

• Operads, homotopy algebra and iterated integrals for double loop spaces

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