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math.RT2021★ 20 cited
Representations and cohomologies of relative Rota-Baxter Lie algebras and applications
Jun Jiang, Yunhe Sheng
In this paper, first we give the notion of a representation of a relative Rota-Baxter Lie algebra and introduce the cohomologies of a relative Rota-Baxter Lie algebra with coeffici…
math.RA2021★ 6 cited
Lie theory and cohomology of relative Rota-Baxter operators
Jun Jiang, Yunhe Sheng, Chenchang Zhu
In this paper, we establish a local Lie theory for relative Rota-Baxter operators of weight . First we recall the category of relative Rota-Baxter operators of weight on Lie…