Yetter-Drinfel'd Hopf algebras over groups of prime order
著者
書誌事項
Yetter-Drinfel'd Hopf algebras over groups of prime order
（Lecture notes in mathematics, 1789）
Springer, c2002
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注記
Bibliography: p. [147]-150
Includes indexes
内容説明・目次
内容説明
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.
目次
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.
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