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arxiv: 1206.0410 · v1 · pith:4WRCELLJnew · submitted 2012-06-02 · 🧮 math.QA · math.CT· math.RT

De-equivariantization of Hopf algebras

classification 🧮 math.QA math.CTmath.RT
keywords hopfalgebraalgebrasde-equivariantizationaffineapplicationapplyattached
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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 $A(H,G,\Phi)$ attached to a coradically-graded pointed Hopf algebra $H$ and some extra data.

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