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On Higher Frobenius-Schur Indicators

Yevgenia Kashina DePaul University, Chicago, IL
Yorck Sommerhäuser Universität München, Munich, Germany
Yongchang Zhu Hong Kong University of Science and Technology, Kowloon, Hong Kong
Available Formats:
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 Click above image for expanded view On Higher Frobenius-Schur Indicators Yevgenia Kashina DePaul University, Chicago, IL Yorck Sommerhäuser Universität München, Munich, Germany Yongchang Zhu Hong Kong University of Science and Technology, Kowloon, Hong Kong Available Formats:  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
• Book Details

Memoirs of the American Mathematical Society
Volume: 1812006; 65 pp
MSC: 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.

• 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
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Volume: 1812006; 65 pp
MSC: 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.

• 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
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