Acta mathematica scientia,Series A

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Weak Hopf Superalgebras wsldq(m|n)

Liu Junli; Yang Shilin   

  1. (College of Applied Sciences, Beijing University of Technology, Beijing 100022)
  • Received:2007-05-28 Revised:2008-10-14 Online:2009-02-25 Published:2009-02-25
  • Contact: Yang Shilin

Abstract: Along the idea of definition of a weak Hopf algebra in the sense of a bialgebra attached with a weak antipode, we give a definition of weak Hopf uperalgebra. As an example, a class of weak Hopf superalgebras but not Hopf uperalgebras wsldq(m|n) is constructed. The PBW basis of wsldq(m|n) is described.

Key words: Weak antipode, Weak Hopf superalgebra, PBW basis.

CLC Number: 

  • 17B37
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