Alternated Hochschild Cohomology

@inproceedings{Lecomte2011AlternatedHC,
  title={Alternated Hochschild Cohomology},
  author={Pierre Lecomte and Valentin Ovsienko},
  year={2011}
}
In this paper we construct a graded Lie algebra on the space of cochains on a Z2-graded vector space that are skew-symmetric in the odd variables. The Lie bracket is obtained from the classical Gerstenhaber bracket by (partial) skew-symmetrization; the coboundary operator is a skew-symmetrized version of the Hochschild differential. We show that an order-one element m satisfying the zero-square condition [m,m] = 0 defines an algebraic structure called “Lie antialgebra” in [17]. The cohomology… CONTINUE READING

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