On compatible Hom-Lie triple systems
arXiv:2311.07531 · doi:10.3770/j.issn:2095-2651.2024.05.005
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.