Sommerhäuser, Yorck
Yetter-Drinfel'd Hopf Algebras over Groups of Prime Order
- Verlag: Springer, Berlin
- Erscheinungsdatum: 2002-07-09
- Format: Taschenbuch
- Umfang: 164
- ISBN: 3540437991
- EAN: 9783540437994
- Amazon.de Verkaufsrang: 1.132.124
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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. TOC:Introduction.- Preliminaries.- Clifford theory.- Examples.- Isomorphisms.- Constructions.- Commutative Yetter-Drinfel'd Hopf algebras.- 7.Cocommutative Yetter-Drinfel'd Hopf algebras.- Semisimple Hopf algebras of dimension p3.- Semisimple Hopf algebras of dimension pq.- Applications.- References.- Subject index.- Symbol index.
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