1.

Record Nr.

UNISA996466610303316

Autore

Sommerhäuser Yorck

Titolo

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

Pubbl/distr/stampa

Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2002

ISBN

3-540-45423-3

Edizione

[1st ed. 2002.]

Descrizione fisica

1 online resource (VIII, 164 p.)

Collana

Lecture Notes in Mathematics, , 0075-8434 ; ; 1789

Disciplina

512.55

Soggetti

Associative rings

Rings (Algebra)

Associative Rings and Algebras

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di contenuto

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.

Sommario/riassunto

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.