Acta mathematica scientia,Series A ›› 2010, Vol. 30 ›› Issue (6): 1612-1620.

• Articles • Previous Articles     Next Articles

Making the Category of Group Entwined Modules into a Bradied Monoidal Category

 LIU Ling1, WANG Shuan-Hong2   

  1. 1.College of Mathematical Physics and Information Engineering, Zhejiang Normal University, Zhejiang Jinhua 321004;
    2.Department of Mathematics, Southeast University, Nanjing 210096
  • Received:2008-09-18 Revised:2009-10-19 Online:2010-12-25 Published:2010-12-25
  • Supported by:

    国家自然科学基金(10571026)资助

Abstract:

The authors investigate how the category of group entwined modules can be made into a monoidal category[11]. It suffices that the algebra and π-coalgebra in question are bialgebra and semi-Hopf π-coalgebra, with some extra compatibility relation. Braidings on a monoidal
category of π-entwined modules are constructed. The construction unifies quasitriangular and coquasitriangular Hopf algebras (Hopf π-coalgebras), Doi-Hopf  π-modules.

Key words: Group entwining structure, Group entwined modules, Braided monoidal category,  π-coalgebra

CLC Number: 

  • 16W30
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