Genqiang Liu

collaborators

Showing math.RTShow all

2 papers · 1 filter

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.RT2024

Minimal nilpotent finite $W$ -algebra and cuspidal module category of $sp_{2 n}$

Genqiang Liu, Mingjie Li

Let $U_{S}$ be the localization of $U (sp_{2 n})$ with respect to the Ore subset $S$ generated by the root vectors $X_{ε_{1} - ε_{2}}, \dots, X_{ε_{1} - ε_{n}}, X_{2 ε_{1}}$ . We show that th…

Classification of Simple Cuspidal Modules over Nongraded Witt Lie Algebras

Minimal nilpotent finite W-algebra and cuspidal module category of sp2n​

Minimal nilpotent finite $W$ -algebra and cuspidal module category of $sp_{2 n}$