数学物理学报(英文版) ›› 2009, Vol. 29 ›› Issue (2): 360-370.doi: 10.1016/S0252-9602(09)60036-9

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THE KILLING FORMS AND DECOMPOSITION THEOREMS OF LIE SUPERTRIPLE SYSTEMS

张知学,贾培根   

  1. Institute of Mathematics and Computers, Hebei University, Baoding 071002, China
  • 收稿日期:2006-11-30 出版日期:2009-03-20 发布日期:2009-03-20
  • 基金资助:

    Supported by the Natural Science Foundation of Hebei Province of China (A2005000088)

THE KILLING FORMS AND DECOMPOSITION THEOREMS OF LIE SUPERTRIPLE SYSTEMS

Zhang Zhixue, Jia Peipei   

  1. Institute of Mathematics and Computers, Hebei University, Baoding 071002, China
  • Received:2006-11-30 Online:2009-03-20 Published:2009-03-20
  • Supported by:

    Supported by the Natural Science Foundation of Hebei Province of China (A2005000088)

摘要:

In this article, the Killing form of a Lie supertriple system (LSTS) and that of its imbedding Lie superalgebra (LSA) are investigated, and a unique decomposition theorem for a quasiclassical LSTS with trivial center is established by means of the parallel decomposition theorem for a quasiclassical LSA.

关键词: Killing form, Lie supertriple system, quasiclassical

Abstract:

In this article, the Killing form of a Lie supertriple system (LSTS) and that of its imbedding Lie superalgebra (LSA) are investigated, and a unique decomposition theorem for a quasiclassical LSTS with trivial center is established by means of the parallel decomposition theorem for a quasiclassical LSA.

Key words: Killing form, Lie supertriple system, quasiclassical

中图分类号: 

  • 17A40