Representations and cohomologies of modified λ-differential Hom-Lie algebras

被引：0
|
作者：
Xiao, Yunpeng [1 ]
Teng, Wen [2 ]
机构：
[1] Guizhou Normal Univ, Sch Math Sci, Guiyang 550025, Peoples R China
[2] Guizhou Univ Finance & Econ, Sch Math & Stat, Guiyang 550025, Peoples R China
来源：
AIMS MATHEMATICS | 2024年 / 9卷 / 02期
关键词：
Hom-Lie algebras; modified lambda-differential operator; cohomology; extension; Hom-Lie; 2-algebras; DEFORMATIONS; EXTENSIONS;
D O I：
10.3934/math.2024213
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce the concept and representations of modified lambda-differential Hom -Lie algebras. We then develop the cohomology of modified lambda-differential Hom-Lie algebras with coefficients in a suitable representation. As applications, abelian extensions and skeletal modified lambda -differential Hom-Lie 2-algebras are characterized in terms of cohomology groups.
引用
收藏
页码：4309 / 4325
页数：17
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