Xiao Zheng

works on

cuspidal modules 1 gl_n representations 1 tensor modules 1 weyl algebra 1 witt lie algebras 1

From the 1 of 3 linked papers with an AI index.

collaborators

3 papers

math.RT2026

Classification of Simple Cuspidal Modules over Nongraded Witt Lie Algebras

Genqiang Liu, Xiaoyao Zheng, Yufang Zhao

The paper characterizes when tensor modules built from a simple Weyl‑type algebra module and a simple gl_n‑module are simple, and proves that every simple cuspidal module over the…

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.SG2025

$T$ -equivariant disc potential and SYZ mirror construction

Yoosik Kim, Siu-Cheong Lau, Xiao Zheng

We develop a $G$ -equivariant Lagrangian Floer theory and obtain a curved $A_{\infty}$ algebra, and in particular a $G$ -equivariant disc potential. We construct a Morse model, which c…

Classification of Simple Cuspidal Modules over Nongraded Witt Lie Algebras

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

T-equivariant disc potential and SYZ mirror construction

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

$T$ -equivariant disc potential and SYZ mirror construction