Abstract
In this paper, we first introduce the notion of relative Rota-Baxter operators on Hom-Lie triple systems and define a cohomology of relative Rota-Baxter operators on Hom-Lie triple systems with coefficients in a suitable representation. Furthermore, we introduce and study Hom-pre-Lie triple systems as the underlying structure of relative Rota-Baxter operators on Hom-Lie triple systems. Finally, we provide relationships between relative Rota-Baxter operators on Hom-Lie algebras and associated Hom-Lie triple systems.
Acknowledgments
The authors would like to express their deep gratitude to the anonymous referee for a careful reading and valuable suggestions.