Yetter-Drinfel'd Hopf algebras over groups of prime order

著者

    • Sommerhäuser, Yorck

書誌事項

Yetter-Drinfel'd Hopf algebras over groups of prime order

Yorck Sommerhäuser

(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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詳細情報

  • NII書誌ID(NCID)
    BA58803660
  • ISBN
    • 3540437991
  • 出版国コード
    gw
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Berlin
  • ページ数/冊数
    157 p.
  • 大きさ
    24 cm
  • 親書誌ID
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