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arXiv · 1808.01464

Homotopy G-algebra structure on the cochain complex of hom-type algebras

Apurba Das
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Abstract

A hom-associative algebra is an algebra whose associativity is twisted by an algebra homomorphism. We show that the Hochschild type cochain complex of a hom-associative algebra carries a homotopy G-algebra structure. As a consequence, we get a Gerstenhaber algebra structure on the cohomology of a hom-associative algebra. We also find similar results for hom-dialgebras.

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Apurba Das. 2018-08-04. Homotopy G-algebra structure on the cochain complex of hom-type algebras. https://arxiv.org/abs/1808.01464

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