Yorck Sommerhäuser

Yetter-Drinfel'd Hopf Algebras over Groups of Prime Order (eBook, PDF)

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 164
• Erscheinungstermin: 19. Oktober 2004
• Englisch
• ISBN-13: 9783540454236
• Artikelnr.: 53320914

Autorenporträt

Yorck Sommerhäuser, University of Munich, Germany

Inhaltsangabe

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.