On compatible Hom-Lie triple systems
Wen Teng, Fengshan Long, Hui Zhang, Jiulin Jin
公開日: 2023/11/5
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.