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

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

来源:Arxiv_logoArxiv
英文摘要

In this paper, we introduce the notion of a relative Rota-Baxter operator of weight $\lambda$ 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 $\lambda$ on Lie triple systems and use the first cohomology group to classify infinitesimal deformations.

Liangyun Chen、Xueru Wu、Yao Ma

数学

Liangyun Chen,Xueru Wu,Yao Ma.Relative Rota-Baxter operators of nonzero weights on Lie Triple Systems[EB/OL].(2022-05-25)[2025-08-23].https://arxiv.org/abs/2207.08946.点此复制

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