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

2002
ISBN: 978-3-540-43799-4
Verlag: Springer Berlin Heidelberg

Buch, Englisch, Band 1789, 164 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 254 g

Reihe: Lecture Notes in Mathematics

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.

Zielgruppe

Research

Autoren/Hrsg.

Sommerhäuser, Yorck

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Homologische Algebra
• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie

Inhaltsverzeichnis

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.