11 citations · 12 across the 12 of their papers we have counts for
6 papers · 1 filter
Pre-vertex algebras, pre-Poisson vertex algebras and their deformation quantizations
Jiabao Xu, Jiefeng Liu
In this paper, we introduce pre-vertex algebras and pre-Poisson vertex algebras as preLie-algebras in the chiral and classical pseudo-tensor categories, respectively. We show that…
Twisting theory, relative Rota-Baxter type operators and -algebras on Lie conformal algebras
Lamei Yuan, Jiefeng Liu
Based on Nijenhuis-Richardson bracket and bidegree on the cohomology complex for a Lie conformal algebra, we develop a twisting theory of Lie conformal algebras. By using derived b…
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…
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…
Pre-Lie analogues of Poisson-Nijenhuis structures and Maurer-Cartan equations
Jiefeng Liu, Qi Wang
In this paper, we study pre-Lie analogues of Poisson-Nijenhuis structures and introduce ON-structures on bimodules over pre-Lie algebras. We show that an ON-structure gives rise to…
Twisting on pre-Lie algebras and quasi-pre-Lie bialgebras
Jiefeng Liu
We study (quasi-)twilled pre-Lie algebras and the associated -algebras and differential graded Lie algebras. Then we show that certain twisting transformations on (quasi-…