On Higher Frobenius-Schur Indicators

Studies the higher Frobenius-Schur indicators of modules over semisimple Hopf algebras, and relates them to other invariants as the exponent, the order, and the index. This title intends to prove various divisibility and integrality results for these invariants as well as a version of Cauchy's theorem for semisimple Hopf algebras.

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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.