E-Book, Englisch, Band 1789, 164 Seiten, eBook
Reihe: Lecture Notes in Mathematics
Sommerhäuser Yetter-Drinfel'd Hopf Algebras over Groups of Prime Order
Erscheinungsjahr 2004
ISBN: 978-3-540-45423-6
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, Band 1789, 164 Seiten, eBook
Reihe: Lecture Notes in Mathematics
ISBN: 978-3-540-45423-6
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
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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Research
Autoren/Hrsg.
Weitere Infos & Material
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.