On Higher Frobenius-Schur Indicators

Details On Higher Frobenius-Schur Indicators On Higher Frobenius-Schur Indicators

2003-11-12

arxiv.org/abs/math/0311199v2

Mem. Am. Math. Soc., Vol. 181, No. 855, Am. Math. Soc., Providence, 2006

Mathematics

Rings and Algebras

62 pages. Important new result added, remark by P. Etingof included, mistake in last section corrected. See also http://www.

Scientific paper

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.

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