Cohomology and Deformation of Leibniz Pairs

Details Cohomology and Deformation of Leibniz Pairs Cohomology and Deformation of Leibniz Pairs

1995-02-06

arxiv.org/abs/q-alg/9502006v1

Mathematics

Quantum Algebra

15 pages

Scientific paper

10.1007/BF00739377

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.

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