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

页码：260 / 271

页数：12

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