Self-dual modules of semisimple Hopf algebras

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dc.creatorKashina, Yevgenia
dc.creatorSommerhaeuser, Yorck
dc.creatorZhu, Yongchang
dc.date2001-06-29
dc.date2001-07-03
dc.date.accessioned2026-07-07T04:42:23Z
dc.date.available2026-07-07T04:42:23Z
dc.descriptionWe 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.
dc.description9 pages. Important new result included. See also http://www.mathematik.uni-muenchen.de/~sommerh
dc.identifierhttps://arxiv.org/abs/math/0106254
dc.identifierhttp://arxiv.org/abs/math/0106254
dc.identifierJ. Algebra 257 (2002), 88-96
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61757
dc.subjectRings and Algebras
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.subject16W30
dc.titleSelf-dual modules of semisimple Hopf algebras
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