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math.CT2022
Rota-Baxter Lie -algebras
Shilong Zhang, Jiefeng Liu
In this paper, we introduce the notion of Rota-Baxter Lie -algebras, which is a categorification of Rota-Baxter Lie algebras. We prove that the category of Rota-Baxter Lie -a…
math.CT2016
On non-abelian extensions of Leibniz algebras
Jiefeng Liu, Yunhe Sheng, Qi Wang
In this paper, first we classify non-abelian extensions of Leibniz algebras by the second non-abelian cohomology. Then, we construct Leibniz 2-algebras using derivations of Leibniz…