Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
OK
Please make all selections above before adding to cart
OK
The following link can be shared to navigate to this page. You can select the link to copy or click the 'Copy To Clipboard' button below.
Copy To Clipboard
Successfully Copied!
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
Front Cover for On Higher Frobenius-Schur Indicators
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
Front Cover for On Higher Frobenius-Schur Indicators
Click above image for expanded view
  • Front Cover for On Higher Frobenius-Schur Indicators
  • Back Cover for 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
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.

  • 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
  • Request Review Copy
  • Get Permissions
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
Please select which format for which you are requesting permissions.