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
  • [31] Extensions of hom-Lie color algebras
    Armakan, Abdoreza
    Silvestrov, Sergei
    Farhangdoost, Mohammad Reza
    GEORGIAN MATHEMATICAL JOURNAL, 2021, 28 (01) : 15 - 27
  • [32] (m, n)-Hom-Lie algebras
    Ma, Tianshui
    Zheng, Huihui
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 2018, 92 (1-2): : 59 - 78
  • [33] CoKahler and Cosymplectic Hom-Lie Algebras
    Peyghan, E.
    Nourmohammadifar, L.
    Gezer, A.
    Tosun, E.
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2023, 20 (02)
  • [34] Centroid Hom-associative Algebras and Centroid Hom-Lie Algebras
    Bai, Yu Xiu
    Bokut, Leonid A.
    Chen, Yu Qun
    Zhang, Ze Rui
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2024, 40 (04) : 935 - 961
  • [35] Centroid Hom-associative Algebras and Centroid Hom-Lie Algebras
    Yu Xiu Bai
    Leonid A. Bokut
    Yu Qun Chen
    Ze Rui Zhang
    Acta Mathematica Sinica, English Series, 2024, 40 : 935 - 961
  • [36] Centroid Hom-associative Algebras and Centroid Hom-Lie Algebras
    Yu Xiu BAI
    Leonid A.BOKUT
    Yu Qun CHEN
    Ze Rui ZHANG
    ActaMathematicaSinica,EnglishSeries, 2024, (04) : 935 - 961
  • [37] O-operators on hom-Lie algebras
    Mishra, Satyendra Kumar
    Naolekar, Anita
    JOURNAL OF MATHEMATICAL PHYSICS, 2020, 61 (12)
  • [38] On (n+1)-Hom-Lie algebras induced by n-Hom-Lie algebras
    Kitouni, Abdennour
    Makhlouf, Abdenacer
    Silvestrov, Sergei
    GEORGIAN MATHEMATICAL JOURNAL, 2016, 23 (01) : 75 - 95
  • [39] Classification of Multiplicative Simple Hom-Lie Algebras
    Chen, Xue
    Han, Wei
    JOURNAL OF LIE THEORY, 2016, 26 (03) : 767 - 775
  • [40] HOMOLOGY THEORY OF MULTIPLICATIVE HOM-LIE ALGEBRAS
    Xu, Maosen
    Wu, Zhixiang
    MATHEMATICAL REPORTS, 2023, 25 (02): : 331 - 347
12345