Genqiang Liu

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20222026

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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{…

Classification of Simple Cuspidal Modules over Nongraded Witt Lie Algebras

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

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