Journal of Jilin University Science Edition

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Structure of Semisimple Hopf Algebras of  pq3 -Dimension

DONG Jing cheng 1,2, DAI Li 2   

  1. 1. Department of Mathematics, Southeast University, Nanjing 210096, China; 2. College of Engineering, Nanjing Agricultural University, Nanjing 210031, China
  • Received:2013-02-21 Online:2013-11-26 Published:2013-11-21
  • Contact: DONG Jing cheng E-mail:dongjc@njau.edu.cn

Abstract:

Analyzing the order of the group consisting of group\|like elements of a semisimple Hopf algebra, the authors obtained the structures of semisimple Hopf algebras of dimension pq3 over an algebraically closed field of characteristic 0: they are either semisolvable, or isomorphic to a Radford biproduR#A, where p,q are prime numbers to meet the needs of  p>q 2, A is a semisimple Hopf algebra of dimension q 3, R is a semisimple Yetter-Drinfeld Hopf algebra in of dimension p.

Key words: semisimple Hopf algebra, semisolvability, Radford biproduct, character, Drinfeld double

CLC Number: 

  • O153.3