Acta mathematica scientia,Series A ›› 2015, Vol. 35 ›› Issue (2): 373-380.

• Articles • Previous Articles     Next Articles

Fractional Super-Yang Hierarchy and Its Super-Hamiltonian Structure

Xia Dong1,2, Xia Tiecheng2, Li Desheng1   

  1. 1. Department of Mathematics, Shenyang Normal University, Shenyang 110034;
    2. Department of Mathematics, Shanghai University, Shanghai 200444
  • Received:2014-01-18 Revised:2014-11-28 Online:2015-04-25 Published:2015-04-25

Abstract:

Base on a fractional supertrace identity presented by Wang and Xia and the generalized zero curvature equation associated with Lie superalgebras, the fractional super-Yang hierarchy and its fractional super Hamiltonian structure are obtained. This method can be used other fractional super hierarchies.

Key words: Fractional supertrace identity, Lie superalgebras, The fractional super-Yang hierarchy, Fractional super Hamiltonian structure

CLC Number: 

  • O175.29
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