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Yetter-Drinfel'd Hopf Algebras over Groups of Prime Order

  • Book
  • © 2002

Overview

Authors:
  1. Yorck Sommerhäuser
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1789)

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Table of contents (13 chapters)

  1. Front Matter

    Pages I-V
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  2. Introduction

    • Yorck Sommerhäuser
    Pages 1-6

  3. 1. Preliminaries

    • Yorck Sommerhäuser
    Pages 7-24

  4. 2. Clifford theory

    • Yorck Sommerhäuser
    Pages 25-33

  5. 3. Examples

    • Yorck Sommerhäuser
    Pages 35-47

  6. 4. Isomorphisms

    • Yorck Sommerhäuser
    Pages 49-65

  7. 5. Constructions

    • Yorck Sommerhäuser
    Pages 67-89

  8. 6. Commutative Yetter-Drinfel’d Hopf algebras

    • Yorck Sommerhäuser
    Pages 91-102

  9. 7. Cocommutative Yetter-Drinfel’d Hopf algebras

    • Yorck Sommerhäuser
    Pages 103-113

  10. 8. Semisimple Hopf algebras of dimension p3

    • Yorck Sommerhäuser
    Pages 115-129

  11. 9. Semisimple Hopf algebras of dimension pq

    • Yorck Sommerhäuser
    Pages 131-140

  12. 10. Applications

    • Yorck Sommerhäuser
    Pages 141-145

  13. References

    • Yorck Sommerhäuser
    Pages 147-150

  14. Subject and Symbol Index

    • Yorck Sommerhäuser
    Pages 151-157

  15. Back Matter

    Pages 159-163
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Keywords

About this book

Being the first monograph devoted to this subject, the book addresses the classification problem for semisimple Hopf algebras, a field that has attracted considerable attention in the last years. The special approach to this problem taken here is via semidirect product decompositions into Yetter-Drinfel'd Hopf algebras and group rings of cyclic groups of prime order. One of the main features of the book is a complete treatment of the structure theory for such Yetter-Drinfel'd Hopf algebras.

Bibliographic Information

  • Book Title: Yetter-Drinfel'd Hopf Algebras over Groups of Prime Order

  • Authors: Yorck Sommerhäuser

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/b83955

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2002

  • Softcover ISBN: 978-3-540-43799-4Published: 09 July 2002

  • eBook ISBN: 978-3-540-45423-6Published: 19 October 2004

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VIII, 164

  • Topics: Associative Rings and Algebras

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