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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Für Beruf und Forschung
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Maße
Höhe: 229 mm
Breite: 152 mm
Dicke: 10 mm
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ISBN-13
978-3-540-43799-4 (9783540437994)
DOI
Schweitzer Klassifikation
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.