数学物理学报 ›› 2015, Vol. 35 ›› Issue (2): 373-380.

• 论文 • 上一篇    下一篇

分数阶超Yang族及其超哈密顿结构

夏冬1,2, 夏铁成2, 李德生1   

  1. 1. 沈阳师范大学数学与系统科学学院 沈阳 110034;
    2. 上海大学数学系 上海 200444
  • 收稿日期:2014-01-18 修回日期:2014-11-28 出版日期:2015-04-25 发布日期:2015-04-25
  • 作者简介:夏冬,E-mail:m15802420194@163.com;夏铁成,E-mail:xiatc@shu.edu.cn;李德生,E-mail:lidesheng@synu.edu.cn
  • 基金资助:

    国家自然科学基金(11271008,61072147)和上海大学重点学科(A.13-0101-12-004)资助

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

摘要:

通过应用分数阶超迹恒等式以及建立在李超代数上的广义零曲率方程, 得到分数阶超Yang族和它的分数阶超哈密顿结构. 应用该方法还可以得到其他分数阶超方程族.

关键词: 分数阶超迹恒等式, 李超代数, 分数阶超Yang族, 分数阶超哈密顿结构

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

中图分类号: 

  • O175.29