约化李三系  

Reductive Lie Triple Systems

作　　者：张知学[1] 潘淑杰[1] 

机构地区：[1]河北大学数学与计算机学院,河北保定071002

出　　处：《河北大学学报（自然科学版）》2006年第2期120-122,共3页Journal of Hebei University(Natural Science Edition)

基　　金：河北省自然科学基金资助项目(A2005000088)

摘　　要：给出了约化李三系的定义,在此基础上得到了李三系的约化与它的标准嵌入李代数的约化的对应关系:李三系是约化的当且仅当其标准嵌入李代数是约化的,并进一步证明了李三系是约化的等价条件.The concept of reductive Lie triple systems is defined, and the relationship between the reductivity of Lie triple systems and its standard imbedding Lie algebras is obtained： A Lie triple system is reductive if and only if its standard imbedding Lie algebra is reduetive. The equivalence of reduetive Lie triple systems is examined.

关 键 词：李三系 约化李三系 标准嵌入李代数 

分 类 号：O152.5[理学—数学]