41 citations · 252 across the 36 of their papers we have counts for
7 papers · 1 filter
Post-groupoids and quiver-theoretical solutions of the Yang-Baxter equation
Yunhe Sheng, Rong Tang, Chenchang Zhu
The notion of post-groups was introduced by Bai, Guo and the first two authors recently, which are the global objects corresponding to post-Lie algebras, equivalent to skew-left br…
Deformation maps of quasi-twilled Lie algebras
Jun Jiang, Yunhe Sheng, Rong Tang
In this paper, we provide a unified approach to study the cohomology theories and deformation theories of various types of operators in the category of Lie algebras, including modi…
Formal integration of complete Rota-Baxter Lie algebras
Maxim Goncharov, Pavel Kolesnikov, Yunhe Sheng +1
In this paper, first we revisit the formal integration of Lie algebras, which give rise to braces in some special cases. Then we establish the formal integration theory for complet…
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…
Post-Hopf algebras, relative Rota-Baxter operators and solutions of the Yang-Baxter equation
Yunnan Li, Yunhe Sheng, Rong Tang
In this paper, first we introduce the notion of a post-Hopf algebra, which gives rise to a post-Lie algebra on the space of primitive elements and there is naturally a post-Hopf al…
The controlling -algebra, cohomology and homotopy of embedding tensors and Lie-Leibniz triples
Yunhe Sheng, Rong Tang, Chenchang Zhu
In this paper, we first construct the controlling algebras of embedding tensors and Lie-Leibniz triples, which turn out to be a graded Lie algebra and an -algebra respect…
Leibniz bialgebras, relative Rota-Baxter operators and the classical Leibniz Yang-Baxter equation
Yunhe Sheng, Rong Tang
In this paper, first we introduce the notion of a Leibniz bialgebra and show that matched pairs of Leibniz algebras, Manin triples of Leibniz algebras and Leibniz bialgebras are eq…