Articles

THE KILLING FORMS AND DECOMPOSITION THEOREMS OF LIE SUPERTRIPLE SYSTEMS

  • ZHANG Zhi-Hua ,
  • GU Pei-Gen
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  • Institute of Mathematics and Computers, Hebei University, Baoding 071002, China

Received date: 2006-11-30

  Online 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.

Cite this article

ZHANG Zhi-Hua , GU Pei-Gen . THE KILLING FORMS AND DECOMPOSITION THEOREMS OF LIE SUPERTRIPLE SYSTEMS[J]. Acta mathematica scientia, Series B, 2009 , 29(2) : 360 -370 . DOI: 10.1016/S0252-9602(09)60036-9

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