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Lazy 2-cocycles over monoidal Hom-Hopf algebras
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2015
Year
Hopf AlgebraAbstract AlgebraMonoidal Hom-hopf AlgebrasRepresentation TheoryMonoidal Hom-hopf AlgebraLazy 2-CocyclesAlgebraic CombinatoricsCombinatorial Hopf AlgebraUniversal AlgebraRadford Hom-biproduct
We introduce the notion of a lazy $2$-cocycle over a monoidal Hom-Hopf algebra and determine all lazy $2$-cocycles for a class of monoidal Hom-Hopf algebras. We also study the extension of lazy $2$-cocycles to a Radford Hom-biproduct.