39 citations · 162 across the 33 of their papers we have counts for
5 papers · 1 filter
Homotopy Poisson algebras, Maurer-Cartan elements and Dirac structures of CLWX 2-algebroids
Jiefeng Liu, Yunhe Sheng
In this paper, we construct a homotopy Poisson algebra of degree 3 associated to a split Lie 2-algebroid, by which we give a new approach to characterize a split Lie 2-bialgebroid.…
Hom-Lie algebroids, Hom-Lie bialgebroids and Hom-Courant algebroids
Liqiang Cai, Jiefeng Liu, Yunhe Sheng
In this paper, first we modify the definition of a Hom-Lie algebroid introduced by Laurent-Gengoux and Teles and give its equivalent dual description. Many results that parallel to…
Pre-symplectic algebroids and their applications
Jiefeng Liu, Yunhe Sheng, Chengming Bai
In this paper, we introduce the notion of a pre-symplectic algebroid, and show that there is a one-to-one correspondence between pre-symplectic algebroids and symplectic Lie algebr…
QP-structures of degree 3 and CLWX 2-algebroids
Jiefeng Liu, Yunhe Sheng
In this paper, we give the notion of a CLWX 2-algebroid and show that a QP-structure of degree 3 gives rise to a CLWX 2-algebroid. This is the higher analogue of the result that a…
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…