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

2022/05/25 by Xueru Wu, Yao Ma, Wu, Xueru +3
Mathematics · Physics and Astronomy · Medicine · #Advanced Topics in Algebra #Advanced Differential Geometry Research #Restless Legs Syndrome Research

paper · pdf · doi:10.48550/arxiv.2207.08946

Abstract

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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