On some classification of finite-dimensional Hopf algebras over the Hopf algebra of Kashina

Abstract

Let H be the dual of 16-dimensional nontrivial semisimple Hopf algebra in the classification work of Kashina [22]. We completely determine all finite-dimensional Nichols algebras satisfying where each Ni is a simple object in Under this assumption, we classify all those Hopf algebras of finite-dimensional growth from the semisimple Hopf algebra H via the relevant Nichols algebras