Yu-Fang Zhao

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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

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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}}\}…

Classification of Simple Cuspidal Modules over Nongraded Witt Lie Algebras

The category of Whittaker modules over the Cartan Type Lie algebra Sˉ2​

A category equivalence on the Lie algebra of polynomial vector fields

Whittaker category for the Lie algebra of polynomial vector fields

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