290 citations · 1.2k across the 89 of their papers we have counts for
Showing 2023Show all
3 papers · 1 filter
math.RA2023
From relative Rota-Baxter operators and relative averaging operators on Lie algebras to relative Rota-Baxter operators on Leibniz algebras: a uniform approach
Rong Tang, Yunhe Sheng, Friedrich Wagemann
In this paper, first we construct two subcategories (using symmetric representations and antisymmetric representations) of the category of relative Rota-Baxter operators on Leibniz…
math.QA2023★ 33 cited
Post-groups, (Lie-)Butcher groups and the Yang-Baxter equation
Chengming Bai, Li Guo, Yunhe Sheng +1
The notions of a post-group and a pre-group are introduced as a unification and enrichment of several group structures appearing in diverse areas from numerical integration to the…
math.RA2023
Omni-representations of Leibniz algebras
Zhangju Liu, Yunhe Sheng
In this paper, first we introduce the notion of an omni-representation of a Leibniz algebra $\g$ on a vector space as a Leibniz algebra homomorphism from $\g$ to the omni-Lie a…