@article{Xiao2024, 
author = {Yunpeng Xiao and Wen Teng},
title = {Representations and cohomologies of modified    λ-differential Hom-Lie algebras},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {2},
pages = {4309-4325},
keywords = {Hom-Lie algebras, modified λ-differential operator, cohomology, extension, Hom-Lie 2-algebras},
url = {https://www.sciopen.com/article/10.3934/math.2024213},
doi = {10.3934/math.2024213},
abstract = {In this paper, we introduce the concept and representations of modified    λ-differential Hom-Lie algebras. We then develop the cohomology of modified    λ-differential Hom-Lie algebras with coefficients in a suitable representation. As applications, abelian extensions and skeletal modified    λ-differential Hom-Lie 2-algebras are characterized in terms of cohomology groups.}
}