Acta mathematica scientia,Series B ›› 2009, Vol. 29 ›› Issue (2): 360-370.doi: 10.1016/S0252-9602(09)60036-9

• Articles • Previous Articles     Next Articles

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)

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

CLC Number: 

  • 17A40
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