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
相关论文
共 50 条
  • [21] Kähler-Norden structures on Hom-Lie groups and Hom-Lie algebras
    Peyghan, Esmaeil
    Nourmohammadifar, Leila
    Makhlouf, Abdenacer
    Gezer, Aydin
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2025, 54 (01): : 213 - 236
  • [22] Ternary Hom-Nambu-Lie algebras induced by Hom-Lie algebras
    Arnlind, Joakim
    Makhlouf, Abdenacer
    Silvestrov, Sergei
    JOURNAL OF MATHEMATICAL PHYSICS, 2010, 51 (04)
  • [23] Representations of 3-Dimensional Simple Multiplicative Hom-Lie Algebras
    Li, Xiuxian
    ADVANCES IN MATHEMATICAL PHYSICS, 2013, 2013
  • [24] Nijenhuis operators on Hom-Lie algebras
    Das, Apurba
    Sen, Sourav
    COMMUNICATIONS IN ALGEBRA, 2022, 50 (03) : 1038 - 1054
  • [25] Biderivations of Hom-Lie Algebras and Superalgebras
    Yuan, La Mei
    Li, Jia Xin
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2024, 40 (10) : 2337 - 2358
  • [26] Hom-Lie Algebras with a Set Grading
    Valiollah Khalili
    Vietnam Journal of Mathematics, 2022, 50 : 111 - 124
  • [27] Hom-Lie Algebras with a Set Grading
    Khalili, Valiollah
    VIETNAM JOURNAL OF MATHEMATICS, 2022, 50 (01) : 111 - 124
  • [28] Hom-Lie 2-algebras
    Sheng, Yunhe
    Chen, Danhua
    JOURNAL OF ALGEBRA, 2013, 376 : 174 - 195
  • [29] Biderivations of Hom-Lie Algebras and Superalgebras
    La Mei YUAN
    Jia Xin LI
    Acta Mathematica Sinica,English Series, 2024, (10) : 2337 - 2358
  • [30] Hom-Lie quadratic and Pinczon Algebras
    Arnal, Didier
    Bakbrahem, Wissem
    Chatbouri, Ridha
    COMMUNICATIONS IN ALGEBRA, 2017, 45 (12) : 5471 - 5486
12345