Cohomology and deformation of Leibniz pairs

M. Flato; M. Gerstenhaber; A. A. Voronov

doi:10.1007/BF00739377

Cohomology and deformation of Leibniz pairs

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

Mathematics

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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.

Original language	English (US)
Pages (from-to)	77-90
Number of pages	14
Journal	Letters in Mathematical Physics
Volume	34
Issue number	1
DOIs	https://doi.org/10.1007/BF00739377
State	Published - May 1995

Keywords

Mathematics Subject Classifications (1991): 16E40, 16W30, 17B37, 81R50

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Cohomology and deformation of Leibniz pairs

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