11 citations · 12 across the 11 of their papers we have counts for
7 papers · 1 filter
On the structure of finite Novikov conformal algebras
Pavel Kolesnikov, Jiefeng Liu
We classify finite simple Novikov conformal algebras over an algebraically closed field of characteristic zero. The classification consists of the current conformal algebra over th…
Hyper relative differential operators on Lie algebras
Sofiane Bouarroudj, Jiefeng Liu, Liwen Zhang
In this paper, we first introduce the notion of a hyper relative differential operator on a Lie algebra, in which Nijenhuis operators are used to characterize the relative differen…
From pre-Lie bialgebras to phase spaces of Lie algebras: a categorical correspondence
Qi Wang, Xueyi Wang, Jiefeng Liu
This paper establishes a categorical framework for phase spaces of Lie algebras, pre-Lie bialgebras, Manin triples, classical s-matrices, and relative Rota-Baxter operators by intr…
Cohomologies of 3-Lie algebras with derivations
Senrong Xu, Jiefeng Liu
In this paper, we consider a 3-Lie algebra with a derivation (called a 3-LieDer pair). We define cohomology for a 3-LieDer pair with coefficients in a representation. We use this c…
Lie n-algebras and cohomologies of relative Rota-Baxter operators on n-Lie algebras
Ming Chen, Jiefeng Liu, Yao Ma
Based on the differential graded Lie algebra controlling deformations of an -Lie algebra with a representation (called an n-LieRep pair), we construct a Lie n-algebra, whose Mau…
Koszul-Vinberg structures and compatible structures on left-symmetric algebroids
Qi Wang, Jiefeng Liu, Yunhe Sheng
In this paper, we introduce the notion of Koszul-Vinberg-Nijenhuis structures on a left-symmetric algebroid as analogues of Poisson-Nijenhuis structures on a Lie algebroid, and sho…