Examples of finite-dimensional Hopf algebras with the dual Chevalley property

Abstract

We present new Hopf algebras with the dual Chevalley property by determining all semisimple Hopf algebras Morita-equivalent to a group algebra over a finite group, for a list of groups supporting a non-trivial finite-dimensional Nichols algebra.

Final version. Accepted for publication in Publicacions Matemà tiques