Title

Non-semisimple Hopf algebras of dimension p2

Document Type

Article

Publication Date

9-1-2002

Abstract

Let H be, finite-dimensional Hopf algebra with antipode S of dimension pq over an algebraically closed field of characteristic 0, where p ≤ q are odd primes. If H is not semisimple, then the order of S4 is p, and Tr(S2p) is an integer divisible by p2. In particular, if dim H = p2, we prove that H is isomorphic to a Taft algebra. This completes the classification for the Hopf algebras of dimension p2. © 2002 Elsevier Science (USA). All rights reserved.

Publication Source (Journal or Book title)

Journal of Algebra

First Page

182

Last Page

197

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