De-equivariantization of Hopf algebras

Abstract

We study the de-equivariantization of a Hopf algebra by an affine group scheme and we apply Tannakian techniques in order to realize it as the tensor category of comodules over a coquasi-bialgebra. As an application we construct a family of coquasi-Hopf algebras A(H,G,) attached to a coradically-graded pointed Hopf algebra H and some extra data.

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