数学物理学报(英文版) ›› 2010, Vol. 30 ›› Issue (1): 225-239.doi: 10.1016/S0252-9602(10)60040-9

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LIE SUPER-BIALGEBRA STRUCTURES |ON GENERALIZED SUPER-VIRASORO ALGEBRAS

杨恒云, 苏育才   

  1. Department of Mathematics, Shanghai Jiao Tong University, |Shanghai 200240, China
    Department of Mathematics, Shanghai Maritime University, Shanghai 200135, China
  • 收稿日期:2006-12-21 修回日期:2008-03-07 出版日期:2010-01-20 发布日期:2010-01-20
  • 基金资助:

    Supported by the Foundation of Shanghai Education Committee (06FZ029), NSF of China (10471091), ``One Hundred Program'' from University of Science and Technology of China.

LIE SUPER-BIALGEBRA STRUCTURES |ON GENERALIZED SUPER-VIRASORO ALGEBRAS

 YANG Heng-Yun, SU Yu-Cai   

  1. Department of Mathematics, Shanghai Jiao Tong University, |Shanghai 200240, China
    Department of Mathematics, Shanghai Maritime University, Shanghai 200135, China
  • Received:2006-12-21 Revised:2008-03-07 Online:2010-01-20 Published:2010-01-20
  • Supported by:

    Supported by the Foundation of Shanghai Education Committee (06FZ029), NSF of China (10471091), ``One Hundred Program'' from University of Science and Technology of China.

摘要:

In this article, Lie super-bialgebra structures on generalized super-Virasoro algebras L are considered. It is proved that all such Lie super-bialgebras are coboundary triangular Lie super-bialgebras if and only if H1(LL{\cal L})=0.

关键词: Lie super-bialgebras, Yang-Baxter equation, generalized super-Virasoro algebras

Abstract:

In this article, Lie super-bialgebra structures on generalized super-Virasoro algebras L are considered. It is proved that all such Lie super-bialgebras are coboundary triangular Lie super-bialgebras if and only if H1(LL{\cal L})=0.

Key words: Lie super-bialgebras, Yang-Baxter equation, generalized super-Virasoro algebras

中图分类号: 

  • 17B62