Acta mathematica scientia,Series A ›› 2014, Vol. 34 ›› Issue (2): 327-337.

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Crossed Products of Weak Hopf Group Coalgebras

 GUO Shuang-Jian1, WANG Shuan-Hong2   

  1. 1.School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550025;
    2.Department of Mathematics, |Southeast University, Nanjing 210096
  • Received:2011-08-08 Revised:2013-03-20 Online:2014-04-25 Published:2014-04-25
  • Supported by:

    江苏省自然科学基金(BK2012736)资助.

Abstract:

In this paper, the authors introduce the notion of a weak group crossed product and give a sufficient and necessary condition under which weak group crossed product algebras and the usual tensor product coalgebra become a weak semi-Hopf group-coalgebra. Finally, we prove a duality theorem for weak group  crossed products, which extends the main results given by Shen and Wang[7, 8].

Key words: Duality theorem, Weak Hopf group-coalgebra, Weak group crossed product

CLC Number: 

  • 16W30
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