On higher Frobenius-Schur indicators

著者

書誌事項

On higher Frobenius-Schur indicators

Yevgenia Kashina, Yorck Sommerhäuser, Yongchang Zhu

(Memoirs of the American Mathematical Society, no. 855)

American Mathematical Society, 2006

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注記

"Volume 181, number 855 (fourth of 5 numbers)"

Includes bibliographical references (p. 59-60) and indexes

内容説明・目次

内容説明

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.

目次

Introduction The calculus of Sweedler powers Frobenius-Schur indicators The exponent The order The index The Drinfel'd double Examples Bibliography Subject index Symbol index.

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