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
Self-dual weak Hopf algebras
β Scribed by Munir Ahmed; Fang Li
- Publisher
- Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 2008
- Tongue
- English
- Weight
- 268 KB
- Volume
- 24
- Category
- Article
- ISSN
- 1439-7617
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