Gerstenhaber-Schack Cohomology for Hom-bialgebras and Deformations

Published 6 Aug 2016 in math.QA and math.RA | (1608.02084v1)

Abstract: Hom-bialgebras and Hom-Hopf algebras are generalizations of bialgebra and Hopf algebra structures, where associativity and coassociativity conditions are twisted by a homomorphism. The purpose of this paper is to define a Gerstenhaber-Schack cohomology complex for Hom-bialgebras and then study one parameter formal deformations.

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