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| 关于李三系的导子和自同构 | |
| 引用本文： | 张知学,杨芹,赵冠华.关于李三系的导子和自同构[J].河北大学学报(自然科学版),2004,24(6):569-573. |
| 作者姓名： | 张知学 杨芹 赵冠华 |
| 作者单位： | 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 |
| 基金项目： | 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. |
| 关 键 词： | 李三系 导子 自同构 |
| 文章编号： | 1000-1565(2004)06-0569-05 |
| 修稿时间： | 2003年11月15 |
On Derivation and Automorphism of Lie Triple System |
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| ZHANG Zhi-xue,YANG Qin,ZHAO Guan-hua.On Derivation and Automorphism of Lie Triple System[J].Journal of Hebei University (Natural Science Edition),2004,24(6):569-573. | |
| Authors: | ZHANG Zhi-xue YANG Qin ZHAO Guan-hua |
| Institution: | ZHANG Zhi-xue~1,YANG Qin~2,ZHAO Guan-hua~3 |
| Abstract: | 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). |
| Keywords: | Lie triple system derivation automorphism |
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