5 citations · 7 across the 12 of their papers we have counts for
7 papers · 1 filter
Cohomology of Lie coalgebras
Joseph Chuang, Andrey Lazarev, Yunhe Sheng +1
A Koszul duality-type correspondence between coderived categories of conilpotent differential graded Lie coalgebras and their Chevalley-Eilenberg differential graded algebras is es…
On the integration of relative Rota-Baxter Lie algebras
Jun Jiang, Yunhe Sheng, Chenchang Zhu
In this paper, we give the necessary and sufficient conditions of the integrability of relative Rota-Baxter Lie algebras via double Lie groups, matched pairs of Lie groups and fact…
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…
Quasi-triangular, factorizable Leibniz bialgebras and relative Rota-Baxter operators
Chengming Bai, Guilai Liu, Yunhe Sheng +1
We introduce the notion of quasi-triangular Leibniz bialgebras, which can be constructed from solutions of the classical Leibniz Yang-Baxter equation (CLYBE) whose skew-symmetric p…
Stability and rigidity of 3-Lie algebra morphisms
Jun Jiang, Yunhe Sheng, Geyi Sun
In this paper, first we use the higher derived brackets to construct an -algebra, whose Maurer-Cartan elements are -Lie algebra morphisms. Using the differential in th…
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…