Hopf algebras of dimension 2p^2

Abstract

Let H be a non-semisimple Hopf algebra of dimension 2p^2 over an algebraically closed field of characteristic zero, where p is an odd prime. We prove that H or H^* is pointed, which completes the classification for Hopf algebras of these dimensions.

16pp Latex; Corrected typos and added references; Made a correction to the proof of Lemma 2.2 in the version (V1)