Relative Rota-Baxter operators of nonzero weights on Lie Triple Systems

In this paper, we introduce the notion of a relative Rota-Baxter operator of weight $λ$ on a Lie triple system with respect to an action on another Lie triple system, which can be characterized by the graph of their semidirect product. We also establish a cohomology theory for a relative Rota-Baxter operator of weight $λ$ on Lie triple systems and use the first cohomology group to classify infinitesimal deformations.

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