Document Type
Article
Publication Date
6-1-2004
Abstract
Let H be a non-semisimple Hopf algebra with antipode S of dimension pq over an algebraically closed field of characteristic 0 where p ≤ q are odd primes. We prove that Tr(S2p) = p2d where d ≡ pq (mod 4). As a consequence, if p, q are twin primes, then any Hopf algebra of dimension pq is semisimple. © 2004 Elsevier Inc. All rights reserved.
Publication Source (Journal or Book title)
Journal of Algebra
First Page
399
Last Page
406
Recommended Citation
Ng, S. (2004). Hopf algebras of dimension pq. Journal of Algebra, 276 (1), 399-406. https://doi.org/10.1016/j.jalgebra.2003.11.008
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