Generalized Derivations of Hom-Lie Triple Systems

被引：16

作者：

Zhou, Jia ^{[1
]}

Chen, Liangyun ^{[2
]}

Ma, Yao ^{[3
]}

机构：

[1] Jilin Agr Univ, Coll Informat Technol, Changchun 130118, Jilin, Peoples R China

[2] Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China

[3] Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Anhui, Peoples R China

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2018年 / 41卷 / 02期

基金：

中国博士后科学基金;

关键词：

Hom-Lie triple systems; Generalized derivations; Centroids; ALGEBRAS; SUPERALGEBRAS; DEFORMATIONS; EXTENSIONS; COHOMOLOGY; NAMBU;

D O I：

10.1007/s40840-016-0334-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we give some properties of the generalized derivation algebra GDer(T) of a Hom-Lie triple systems T. In particular, we prove that GDer(T) = QDer(T) + QC(T), the sum of the quasiderivation algebra and the quasicentroid. We also prove that QDer(T) can be embedded as derivations in a larger Hom-Lie triple system. General results on centroids of Hom-Lie triple systems are also developed in this paper.

引用

页码：637 / 656

页数：20

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