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Gerstenhaber-Schack Cohomology for Hom-bialgebras and Deformations
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2016-08-06
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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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Most cited references16
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Abdenacer Makhlouf, Sergei Silvestrov (2008)
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Quasi-hom-Lie algebras, central extensions and 2-cocycle-like identities
Daniel H. Larsson, Sergei Silvestrov (2005)