Cohomology and deformation of Leibniz pairs

Associative property Čech cohomology
DOI: 10.1007/bf00739377 Publication Date: 2004-12-04T00:51:33Z
ABSTRACT
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/>
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