On Higher Frobenius-Schur Indicators

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We 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.
62 pages. Important new result added, remark by P. Etingof included, mistake in last section corrected. See also http://www.mathematik.uni-muenchen.de/~sommerh

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Rings and Algebras, Quantum Algebra, Representation Theory, 16W30

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http://salesiana.dossiersoluciones.com/handle/123456789/97937

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0311199
 http://arxiv.org/abs/math/0311199
 Mem. Am. Math. Soc., Vol. 181, No. 855, Am. Math. Soc., Providence, 2006

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arXiv