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

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.

List of contents

Introduction
- Preliminaries
- Clifford theory
- Examples
- Isomorphisms
- Constructions
- Commutative Yetter-Drinfel'd Hopf algebras
- Cocommutative Yetter-Drinfel'd Hopf algebras
- Semisimple Hopf algebras of dimension p3
- Semisimple Hopf algebras of dimension pq
- Applications
- References
- Subject index
- Symbol index.

Summary

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.

Product details

• Authors: Yorck Sommerhäuser
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 18.09.2002
• EAN: 9783540437994
• ISBN: 978-3-540-43799-4
• No. of pages: 164
• Dimensions: 153 mm x 231 mm x 8 mm
• Weight: 270 g
• Illustrations: VIII, 164 p.
• Series: Lecture Notes in Mathematics; Lecture Notes in Mathematics
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra; B, Mathematics and Statistics, Rings (Algebra), Associative rings, Associative Rings and Algebras