290 citations · 1.2k across the 89 of their papers we have counts for
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math-ph2021★ 24 cited
Factorizable Lie bialgebras, quadratic Rota-Baxter Lie algebras and Rota-Baxter Lie bialgebras
Honglei Lang, Yunhe Sheng
In this paper, first we introduce the notion of quadratic Rota-Baxter Lie algebras of arbitrary weight, and show that there is a one-to-one correspondence between factorizable Lie…
math-ph2021★ 2 cited
Reynolds -Lie algebras and NS--Lie algebras
Shuai Hou, Yunhe Sheng
In this paper, first we introduce the notion of a Reynolds operator on an -Lie algebra and illustrate the relationship between Reynolds operators and derivations on an -Lie a…
math-ph2021★ 12 cited
Maurer-Cartan characterizations and cohomologies of compatible Lie algebras
Jifeng Liu, Yunhe Sheng, Chengming Bai
In this paper, we give Maurer-Cartan characterizations as well as a cohomology theory for compatible Lie algebras. Explicitly, we first introduce the notion of a bidifferential gra…