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Yetter-Drinfel’d Hopf Algebras over Groups of Prime Order [electronic resource] / by Yorck Sommerhäuser.

By: Contributor(s): Material type: TextTextSeries: Lecture Notes in Mathematics ; 1789Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2002Description: VIII, 164 p. online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783540454236
Subject(s): Additional physical formats: Printed edition:: No titleDDC classification:
  • 512.46 23
LOC classification:
  • QA251.5
Online resources:
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.
In: Springer eBooksSummary: 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.
Item type: E-BOOKS
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IMSc Library Link to resource Available EBK1317

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.

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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The Institute of Mathematical Sciences, Chennai, India