Yorck Sommerhäuser

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

• Broschiertes Buch

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.

Produktdetails

• Lecture Notes in Mathematics 1789
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-43799-4
• 2002
• Seitenzahl: 168
• Erscheinungstermin: 9. Juli 2002
• Englisch
• Abmessung: 229mm x 152mm x 10mm
• Gewicht: 270g
• ISBN-13: 9783540437994
• ISBN-10: 3540437991
• Artikelnr.: 10966321

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.