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

TRAMA

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.

SOMMARIO

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.

ALTRE INFORMAZIONI

• Condizione: Nuovo
• ISBN: 9783540437994
• Collana: Lecture Notes in Mathematics
• Dimensioni: 235 x 155 mm
• Formato: Brossura
• Illustration Notes: VIII, 164 p.
• Pagine Arabe: 164
• Pagine Romane: viii