41 citations · 252 across the 36 of their papers we have counts for
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Cohomology and Homotopy of Lie triple systems
Haobo Xia, Yunhe Sheng, Rong Tang
In this paper, first we give the controlling algebra of Lie triple systems. In particular, the cohomology of Lie triple systems can be characterized by the controlling algebra. The…
Relative Rota-Baxter operators of weight 0 on groups, pre-groups, braces, the Yang-Baxter equation and -structures
Yunnan Li, Yunhe Sheng, Rong Tang
In this paper, we study relative Rota-Baxter operators of weight on groups and give various examples. In particular, we propose different approaches to study Rota-Baxter operat…
Symplectic structure, product structures and complex structures on Leibniz algebras
Rong Tang, Nanyan Xu, Yunhe Sheng
In this paper, a symplectic structure on a Leibniz algebra is defined to be a {\em symmetric} nondegenerate bilinear form satisfying certain compatibility condition, and a phase sp…
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…
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…