2018•arXiv (Cornell University)Open access
Gerstenhaber algebra structure on the cohomology of a hom-associative\n algebra
Apurba Das
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Abstract
A hom-associative algebra is an algebra whose associativity is twisted by an\nalgebra homomorphism. In this paper, we define a cup product on the cohomology\nof a hom-associative algebra. We show that the cup product together with the\ndegree $-1$ graded Lie bracket (which controls the deformation of the\nhom-associative algebra structure) on the cohomology forms a Gerstenhaber\nalgebra. This generalizes a classical fact that the Hochschild cohomology of an\nassociative algebra carries a Gerstenhaber algebra structure.\n
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