Yetter-Drinfel'd Hopf algebras over groups of prime order /

Yetter-Drinfel'd Hopf algebras over groups of prime order /

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Bibliographic Details
Author / Creator:	Sommerhäuser, Yorck, 1966-
Imprint:	Berlin ; New York : Springer, ©2002.
Description:	1 online resource (157 pages).
Language:	English
Series:	Lecture notes in mathematics, 0075-8434 ; 1789 Lecture notes in mathematics (Springer-Verlag) ; 1789.
Subject:	Hopf algebras. Group rings. Group rings. Hopf algebras.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11064918

Hidden Bibliographic Details
ISBN:	9783540454236 3540454233 3540437991 9783540437994
Notes:	Includes bibliographical references (pages 147-150) and indexes.
Summary:	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.
Other form:	Print version: Sommerhäuser, Yorck, 1966- Yetter-Drinfel'd Hopf algebras over groups of prime order. Berlin ; New York : Springer, ©2002 3540437991

Table of Contents:

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.