| Electronic ISBN: | 978-1-4704-0459-8 |
| Product Code: | MEMO/181/855.E |
| List Price: | $55.00 |
| MAA Member Price: | $49.50 |
| AMS Member Price: | $33.00 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 181; 2006; 65 ppMSC: Primary 16; Secondary 17;
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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Table of Contents
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Chapters
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Introduction
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1. The calculus of Sweedler powers
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2. Frobenius-Schur indicators
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3. The exponent
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4. The order
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5. The index
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6. The Drinfel’d double
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7. Examples
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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.
-
Chapters
-
Introduction
-
1. The calculus of Sweedler powers
-
2. Frobenius-Schur indicators
-
3. The exponent
-
4. The order
-
5. The index
-
6. The Drinfel’d double
-
7. Examples
