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On Higher Frobenius-Schur Indicators

Yevgenia Kashina, DePaul University, Chicago, IL, Yorck Sommerhäuser, Universität München, Munich, Germany, and Yongchang Zhu, Hong Kong University of Science and Technology, Kowloon, Hong Kong

Memoirs of the American Mathematical Society
2006; 65 pp; softcover
Volume: 181
ISBN-10: 0-8218-3886-5
ISBN-13: 978-0-8218-3886-0
List Price: US$50
Individual Members: US$30
Institutional Members: US$40
Order Code: MEMO/181/855

This item is also sold as part of the following set: MEMO/181

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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.

Table of Contents

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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