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

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.