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Cohomology and Deformation of Leibniz Pairs

q-alg 2016-09-08 v1 Quantum Algebra

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 AA together with a Lie algebra LL mapped into the derivations of AA. A bicomplex (with both Hochschild and Chevalley-Eilenberg cohomologies) is essential.

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Cite

@article{arxiv.q-alg/9502006,
  title  = {Cohomology and Deformation of Leibniz Pairs},
  author = {M. Flato and M. Gerstenhaber and A. A. Voronov},
  journal= {arXiv preprint arXiv:q-alg/9502006},
  year   = {2016}
}

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15 pages