The Nilpotency of Lie Triple Algebras  

作　　者：WANG Gui-dong 

机构地区：[1]Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Chinese Academy ofSciences, Beijing 100080, China [2] Graduate School of the Chinese Academy of Sciences, Beijing 100039,China

出　　处：《Chinese Quarterly Journal of Mathematics》2005年第4期423-429,共7页数学季刊（英文版）

基　　金：Supported by NKBRPC(2004CB31800);Supported by NNSFC(10375087)

摘　　要：In this paper, we mainly concerned about the nilpotence of Lie triple algebras.We give the definition of nilpotence of the Lie triple algebra and obtained that if Lie triplealgebra is nilpotent, then its standard enveloping Lie algebra is nilpotent.

关 键 词：Lie triple algebra SOLVABILITY NILPOTENCE 

分 类 号：O15[理学—数学]