On the Lie triple derivation of Hom-Lie superalgebras

被引：3

作者：

Asif, Sania ^{[1
,2
,3
]}

Wang, Yao ^{[1
,3
]}

机构：

[1] Nanjing Univ Informat Sci & Technol, Sch Math & Stat, Nanjing 210044, Peoples R China

[2] Zhejiang Univ, Dept Math, Hangzhou 310027, Zhejiang Prov, Peoples R China

[3] Nanjing Univ Informat Sci & Technol, Jiangsu Int Joint Laboratoryon Syst Modeling & Dat, Nanjing 210044, Peoples R China

来源：

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2023年 / 16卷 / 10期

关键词：

Triple derivations; Hom-Lie triple derivations; centroid; quasi-centroid; superalgebras; Hom-Lie superalgebras; GENERALIZED DERIVATIONS; ALGEBRAS; HOMOMORPHISMS; EXTENSIONS;

D O I：

10.1142/S1793557123501930

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Consider a Hom-Lie superalgebra, denoted by ??. In this paper, we inquire the Lie triple derivation hTDer(?? ) and generalized Lie triple derivation hGTDer(?? ) of Hom-Lie superalgebra. Later, we address the triple centroid, triple quasi-centroid and central triple derivations of Hom-Lie superalgebra. Moreover, we attempt to show the relationship of triple centroid, triple quasi-centroid and central triple derivation with hTDer(?? ) and hGTDer(?? ). We give complete classification of triple derivations of Hom-Lie superalgebra, where we show that for the simple Hom-Lie superalgebras hTDer(?? ) = hDer(?? ).

引用

页数：18

共 27 条

[1] Cohomology of Hom-Lie superalgebras and q-deformed Witt superalgebra [J].