On compatible Hom-Lie triple systems
Rings and Algebras
2025-09-17 v1
Abstract
In this paper, we consider compatible Hom-Lie triple systems. Compatible Hom-Lie triple systems are characterized as Maurer-Cartan elements in a suitable bidifferential graded Lie algebra. We also define a cohomology theory for compatible Hom-Lie triple systems. As applications of cohomology, we study abelian extensions and deformations of compatible Hom-Lie triple systems.
Cite
@article{arxiv.2311.07531,
title = {On compatible Hom-Lie triple systems},
author = {Wen Teng and Fengshan Long and Hui Zhang and Jiulin Jin},
journal= {arXiv preprint arXiv:2311.07531},
year = {2025}
}