2023/11/05 by Wen Teng, Fengshan Long, Teng, Wen +5
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Advanced Topics in Algebra #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Rings and Algebras (math.RA)
paper · pdf · doi:10.48550/arxiv.2311.07531
openalex publication_date 2023/11/05 · openalex created_date 2023/11/15 · openalex updated_date 2026/07/28
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.