Classification of finite-dimensional Hopf algebras over dual Radford algebras

Abstract

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.