Cohomology and deformation of Leibniz pairs

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

Research output: Contribution to journalArticlepeer-review

34 Scopus citations

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 languageEnglish (US)
Pages (from-to)77-90
Number of pages14
JournalLetters in Mathematical Physics
Volume34
Issue number1
DOIs
StatePublished - May 1995

Keywords

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

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