On Higher Frobenius-Schur Indicators

dc.creatorKashina, Yevgenia
dc.creatorSommerhaeuser, Yorck
dc.creatorZhu, Yongchang
dc.date2003-11-12
dc.date2005-01-30
dc.date.accessioned2026-07-07T06:29:10Z
dc.date.available2026-07-07T06:29:10Z
dc.descriptionWe study the higher Frobenius-Schur indicators of modules over semisimple Hopf algebras, and relate them to other invariants as the exponent, the order, and the index. We prove various divisibility and integrality results for these invariants. In particular, we prove a version of Cauchy's theorem for semisimple Hopf algebras. Furthermore, we give some examples that illustrate the general theory.
dc.description62 pages. Important new result added, remark by P. Etingof included, mistake in last section corrected. See also http://www.mathematik.uni-muenchen.de/~sommerh
dc.identifierhttps://arxiv.org/abs/math/0311199
dc.identifierhttp://arxiv.org/abs/math/0311199
dc.identifierMem. Am. Math. Soc., Vol. 181, No. 855, Am. Math. Soc., Providence, 2006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/97937
dc.subjectRings and Algebras
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.subject16W30
dc.titleOn Higher Frobenius-Schur Indicators
dc.typetext

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