Abstract
The purpose of the present paper is to investigate cohomologies of Rota-Baxter Lie triple systems and applications. First, we consider representations of Rota-Baxter Lie triple systems. Furthermore, we study cohomologies of Rota-Baxter operators and Rota-Baxter Lie triple systems. Abelian extensions of Rota-Baxter Lie triple systems are discussed using cohomology groups. Finally, we study -extensions of Rota-Baxter Lie triple systems.
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