THE KILLING FORMS AND DECOMPOSITION THEOREMS OF LIE SUPERTRIPLE SYSTEMS

作     者：张知学 贾培佩 Zhang Zhixue Institute of Mathematics and Computers,Hebei University,Baoding 071002,China Jia Peipei Fundamental Department,Hebei College of Finance,Baoding 071000,China

作者机构：Institute of Mathematics and ComputersHebei University Fundamental DepartmentHebei College of Finance 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2009年第29卷第2期

页      面：360-370页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0704[理学-天文学] 0701[理学-数学] 

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

主　　题：Killing form Lie supertriple system quasiclassical 

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.