39 citations · 162 across the 33 of their papers we have counts for
4 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…
Affine Rota-Baxter groups and affine skew braces
Jiayao Ma, Boran Zhang, Jiefeng Liu
Rota-Baxter groups and skew braces are closely related algebraic structures, both providing set-theoretical solutions to the Yang-Baxter equation. In this paper, we extend these st…
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…
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…