关于李三系的导子和自同构  

On Derivation and Automorphism of Lie Triple System

作　　者：张知学[1] 杨芹[2] 赵冠华[3] 

机构地区：[1]河北大学数学与计算机学院,河北保定071002 [2]河北邯郸广播电视大学,河北邯郸056004 [3]邯郸师范专科学校数学系,河北邯郸056001

出　　处：《河北大学学报（自然科学版）》2004年第6期569-573,共5页Journal of Hebei University(Natural Science Edition)

基　　金：河北省自然科学基金资助项目(199100)

摘　　要：在李三系导子已有性质的基础上,研究了李三系的导子、自同构,以及它们与相应的标准嵌入李代数的导子、自同构间的关系,特别得到了有关内导子和内自同构的一些结论.Lie triple system,which is a very oimportant algebra system,is introduced in connection.with the symmetric space and the totally geodesic submanifold.Lie triple system connects with many other algebra systems,especially with Lie algebra.Let T be a Lietriple system and L(T) standard imbedding Lie algebra of T.This paper,which bases on some properties of the derivations,will give the definition of natual extension D of the derivation D to L(T),and the definition of natual extension σ of the automorphism σ to L(T),kand will give some relationship on derivations and automorphisms between T and L(T).

关 键 词：李三系 导子 自同构 

分 类 号：O152.5[理学—数学]