11 citations · 12 across the 6 of their papers we have counts for
10 papers
Cohomology and deformation quantization of Poisson conformal algebras
Jiefeng Liu, Hongyu Zhou
In this paper, we first recall the notion of (noncommutative) Poisson conformal algebras and describe some constructions of them. Then we study the formal distribution (noncommutat…
Rota-Baxter Lie -algebras
Shilong Zhang, Jiefeng Liu
In this paper, we introduce the notion of Rota-Baxter Lie -algebras, which is a categorification of Rota-Baxter Lie algebras. We prove that the category of Rota-Baxter Lie -a…
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…
Kupershmidt-(dual-)Nijenhuis structures on a Lie algebra with a representation
Yuwang Hu, Jiefeng Liu, Yunhe Sheng
In this paper, first we study infinitesimal deformations of a Lie algebra with a representation and introduce the notion of a Nijenhuis pair, which gives a trivial deformation of a…
Noncommutative Poisson bialgebras
Jiefeng Liu, Chengming Bai, Yunhe Sheng
In this paper, we introduce the notion of a noncommutative Poisson bialgebra, and establish the equivalence between matched pairs, Manin triples and noncommutative Poisson bialgebr…