Copointed Hopf algebras over $\mathbb{S}_4$

Agust\'in Garc\'ia Iglesias; Cristian Vay

arxiv: 1706.06624 · v2 · pith:3QIKPMPXnew · submitted 2017-06-20 · 🧮 math.QA

Copointed Hopf algebras over mathbb{S}₄

Agust\'in Garc\'ia Iglesias , Cristian Vay This is my paper

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keywords hopfalgebrascopointedmathbbalgebraapplyarxivbraided

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We study the realizations of certain braided vector spaces of rack type as Yetter-Drinfeld modules over a cosemisimple Hopf algebra $H$. We apply the strategy developed in arXiv:1212.5279 to compute their liftings and use these results to obtain the classification of finite-dimensional copointed Hopf algebras over $\mathbb{S}_4$.

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Copointed Hopf algebras over mathbb{S}₄

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