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On the splitting of hopf algebra modules

✍ Scribed by Earl J Taft


Book ID
107774068
Publisher
Elsevier Science
Year
1971
Tongue
English
Weight
403 KB
Volume
18
Category
Article
ISSN
0021-8693

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πŸ“œ SIMILAR VOLUMES


Self-dual modules of semisimple Hopf alg
✍ Yevgenia Kashina; Yorck SommerhΓ€user; Yongchang Zhu πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 89 KB

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