Classification of finite-dimensional Hopf algebras over dual Radford algebras

摘要

We determine and classify all finite-dimensional Hopf algebras over an algebraically closed field of characteristic zero whose Hopf coradicals are isomorphic to dual Radford algebras of dimension 4p for a prime p > 5. In particular, we obtain families of new examples of finite-dimensional Hopf algebras without the dual Chevalley property.

关键词