6533b7d6fe1ef96bd1266648

RESEARCH PRODUCT

Cohomology and Deformation of Leibniz Pairs

Alexander A. VoronovMoshé FlatoMurray Gerstenhaber

subject

Pure mathematicsMathematics::Rings and AlgebrasStatistical and Nonlinear PhysicsDeformation (meteorology)Poisson distributionMathematics::Algebraic TopologyCohomologysymbols.namesakeMathematics::K-Theory and HomologyLie algebraAssociative algebraMathematics - Quantum AlgebrasymbolsFOS: MathematicsQuantum Algebra (math.QA)Mathematical PhysicsMathematics

description

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.

yearjournalcountryeditionlanguage
1995-02-05
10.1007/bf00739377http://arxiv.org/abs/q-alg/9502006