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arxiv: 1608.02084 · v1 · pith:PHUFMTFNnew · submitted 2016-08-06 · 🧮 math.QA · math.RA

Gerstenhaber-Schack Cohomology for Hom-bialgebras and Deformations

classification 🧮 math.QA math.RA
keywords hom-bialgebrascohomologydeformationsgerstenhaber-schackalgebraalgebrasassociativitybialgebra
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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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