Homotopy G-algebra structure on the cochain complex of hom-type algebras
arXiv:1808.01464
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.
Title of the paper has been changed; text overlap with arXiv:1805.01207; accepted for publication in C. R. Acad. Sci. Paris; comments are still welcome