@article{Teng2023, 
author = {Wen Teng and Fengshan Long and Yu Zhang},
title = {Cohomologies of modified    λ-differential Lie triple systems and applications},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {10},
pages = {25079-25096},
keywords = {Lie triple system, modified λ-differential operator, cohomology, deformation, extension},
url = {https://www.sciopen.com/article/10.3934/math.20231280},
doi = {10.3934/math.20231280},
abstract = {In this paper, we introduce the concept and representation of modified    λ-differential Lie triple systems. Next, we define the cohomology of modified    λ-differential Lie triple systems with coefficients in a suitable representation. As applications of the proposed cohomology theory, we study 1-parameter formal deformations and abelian extensions of modified    λ-differential Lie triple systems.}
}