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Self-dual modules of semisimple Hopf algebras

Authors Kashina, Y
Sommerhauser, Y
Zhu, YC
Issue Date 2002
Source Journal of algebra , v. 257, (1), 2002, NOV 1, p. 88-96
Summary We prove that, over an algebraically closed field of characteristic zero, a semisimple Hopf algebra that has a nontrivial self-dual simple module must have even dimension. This generalizes a classical result of W. Burnside. As an application, we show under the same assumptions that a semisimple Hopf algebra that has a simple module of even dimension must itself have even dimension. (C) 2002 Elsevier Science (USA). All rights reserved.
ISSN 0021-8693
Rights Published in Journal of Algebra, (c)2002 Elsevier Science
Language English
Format Article
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