290 citations · 1.2k across the 89 of their papers we have counts for
4 papers · 1 filter
Left-symmetric algebroids
Jiefeng Liu, Yunhe Sheng, Chengming Bai +1
In this paper, we introduce a notion of a left-symmetric algebroid, which is a generalization of a left-symmetric algebra from a vector space to a vector bundle. The left multiplic…
Strong homotopy Lie algebras, homotopy Poisson manifolds and Courant algebroids
Honglei Lang, Yunhe Sheng, Xiaomeng Xu
We study Maurer-Cartan elements on homotopy Poisson manifolds of degree . They unify many twisted or homotopy structures in Poisson geometry and mathematical physics, such as tw…
Deformations of Lie 2-algebras
Zhangju Liu, Yunhe Sheng, Tao Zhang
In this paper, we consider deformations of Lie 2-algebras via the cohomology theory. We prove that a 1-parameter infinitesimal deformation of a Lie 2-algebra $\g$ corresponds to a…
A new approach to hom-Lie bialgebras
Yunhe Sheng, Chengming Bai
In this paper, we introduce a new definition of a hom-Lie bialgebra, which is equivalent to a Manin triple of hom-Lie algebras. We also introduce a notion of an -operat…