Yu-Fang Zhao

activity

20212026

most citedWhittaker category for the Lie algebra of polynomial vector fields

5 citations · 5 across the 5 of their papers we have counts for

collaborators

6 papers

math.RT2026

Classification of Simple Cuspidal Modules over Nongraded Witt Lie Algebras

Genqiang Liu, Xiaoyao Zheng, Yufang Zhao

For a positive integer $n$ , let $A_{n} = C [t_{1}^{\pm 1}, \dots, t_{n}^{\pm 1}, x_{1}, \dots, x_{n}]$ and $g_{n} = ⨁_{i = 1}^{n} A_{n} d_{i}$ , where $d_i=t_i\frac{\partial}{\partial…

math.RT2026

The category of Whittaker modules over the Cartan Type Lie algebra $S ˉ_{2}$

Xiaoyao Zheng, Yufang Zhao, Genqiang Liu

The Lie algebra $S ˉ_{2}$ of polynomial vector fields on $C^{2}$ with constant divergence is an important Cartan type Lie algebra. In this paper, we study Whittaker $\bar{…

math.RT2023

A category equivalence on the Lie algebra of polynomial vector fields

Genqiang Liu, Yufang Zhao

For any positive integer $n$ , let $W_{n} = Der (C [t_{1}, \dots, t_{n}])$ . The subspaces $\mathfrak{h}_n=\text{Span}\{t_1\frac{\partial}{\partial{t_1}},\dots,t_n\frac{\partial}…

math.RT2021★ 5 cited

Whittaker category for the Lie algebra of polynomial vector fields

Yufang Zhao, Genqiang Liu

For any positive integer $n$ , let $A_{n} = C [t_{1}, \dots, t_{n}]$ , $W_{n} = Der (A_{n})$ and $Δ_n=\text{Span}\{\frac{\partial}{\partial{t_1}},\dots,\frac{\partial}{\partial{t_n}}\}…

math.RA2021

2-local derivation on the conformal Galilei algebra

Yufang Zhao, Yongsheng Cheng

2-local derivation is a generalized derivation for a Lie algebra, which plays an important role to the study of local properties of the structure of the Lie algebra. In this paper,…