JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2015, Vol. 50 ›› Issue (12): 98-101.doi: 10.6040/j.issn.1671-9352.0.2014.480

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A duality theorem for a Yetter-Drinfeld Hopf algebra

JIA Ling1, CHEN Xiao-yuan2   

  1. 1. Department of Mathematics and Information, Ludong University, Yantai 264025, Shandong, China;
    2. Faculty of Humanities, Zhejiang Business College, Hangzhou 310053, Zhejiang, China
  • Received:2014-11-04 Revised:2015-03-30 Online:2015-12-20 Published:2015-12-23

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Abstract: A dual theorem for a Yetter-Drinfeld Hopf algebra is given, and it is proved that L#L* is a semisimple algebra for a cocommutative Yetter-Drinfeld Hopf algebra, which generalizing the classical Blatter-Montgomery dual theorem for Hopf algebras.

Key words: duality theorem, Yetter-Drinfeld Hopf algebra, Yetter-Drinfeld module algebra

CLC Number: 

  • O153.6
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