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AuthorSommerhรคuser, Yorck. author
TitleYetter-Drinfel'd Hopf Algebras over Groups of Prime Order [electronic resource] / by Yorck Sommerhรคuser
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 2002
Connect tohttp://dx.doi.org/10.1007/b83955
Descript VIII, 164 p. online resource

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


CONTENT

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


Mathematics Associative rings Rings (Algebra) Mathematics Associative Rings and Algebras



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