Cohomology for Deformation maps of quasi-twilled Lie triple systems

In this talk, we provide a unified approach to study cohomologies of various kinds of operators on Lie triple systems such as homomorphisms, relative Rota-Baxter operators, Reynolds operators etc. For this purpose, we examine two kinds of deformation maps on quasi-twilled Lie triple systems. A quasi-twilled Lie triple system is a Lie triple system which can be decomposed into two subspaces, one of which is a subalgebra. Furthermore, we establish cohomologies of two kinds of deformation maps, which recover those of several kinds of operators on Lie triple systems.