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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
On Higher Frobenius-Schur Indicators
On Higher Frobenius-Schur Indicators
eBook 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
On Higher Frobenius-Schur Indicators
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On Higher Frobenius-Schur Indicators
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
eBook 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.

  • Table of Contents
     
     
    • 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
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
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
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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