Generalized derivations of Lie triple systems

被引：14
|
作者：
Zhou, Jia [1 ]
Chen, Liangyun [2 ]
Ma, Yao [3 ]
机构：
[1] Jilin Agr Univ, Coll Informat Technol, Changchun 130118, Peoples R China
[2] NE Normal Univ, Sch Math & Stat, Key Lab Appl Stat MOE, Changchun 130024, Peoples R China
[3] Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Peoples R China
来源：
OPEN MATHEMATICS | 2016年 / 14卷
基金：
中国博士后科学基金;
关键词：
Generalized derivations; Quasiderivations; Centroids; ALGEBRAS;
D O I：
10.1515/math-2016-0024
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we present some basic properties concerning the derivation algebra Der(T), the quasiderivation algebra QDer(T) and the generalized derivation algebra GDer(T) of a Lie triple system T, with the relationship Der(T) subset of QDer(T) subset of GDer(T) subset of End(T). Furthermore, we completely determine those Lie triple systems T with condition QDer(T) = End(T). We also show that the quasiderivations of T can be embedded as derivations in a larger Lie triple system.
引用
收藏
页码：260 / 271
页数：12
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