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

Yetter-Drinfel’d Hopf Algebras over Groups of Prime Order
Catalogue Information
Field name Details
Dewey Class 512.46
Title Yetter-Drinfel’d Hopf Algebras over Groups of Prime Order ([EBook] /) / by Yorck Sommerhäuser.
Author Sommerhäuser, Yorck
Other name(s) SpringerLink (Online service)
Publication Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 2002.
Physical Details VIII, 164 p. : online resource.
Series Lecture Notes in Mathematics 0075-8434 ; ; 1789
ISBN 9783540454236
Summary Note 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.:
Contents note 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.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site http://dx.doi.org/10.1007/b83955
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