On Higher Frobenius-Schur Indicators (Memoirs of the American Mathematical Society illustrated Edition)

On Higher Frobenius-Schur Indicators (Memoirs of the American Mathematical Society illustrated Edition)

By: Yongchang Zhu (author), Yevdenia Kashina (author), Yorck Sommerhauser (author)Paperback

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Description

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.

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.

Product Details

  • ISBN13: 9780821838860
  • Format: Paperback
  • Number Of Pages: 65
  • ID: 9780821838860
  • ISBN10: 0821838865
  • edition: illustrated Edition

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