Cohomology and deformation of Leibniz pairs

• DOI: 10.1007/bf00739377
• Publication Date: 2004-12-04T00:51:33Z
• Authors: M. Flato; M. Gerstenhaber; A. A Voronov
• Keywords: Mathematics - Quantum Algebra; 0103 physical sciences; FOS: Mathematics; Quantum Algebra (math.QA); 0101 mathematics; 01 natural sciences

15 pages<br/>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.<br/>