Mingjie Li

activity

20222025

collaborators

3 papers

math.RT2025

Irreducible cuspidal $sl_{n + 1}$ -modules from finite-dimensional modules over the minimal nilpotent finite $W$ -algebra

Genqiang Liu, Mingjie Li

A weight $sl_{n + 1}$ -module with finite-dimensional weight spaces is called a cuspidal module, if every root vector of $sl_{n + 1}$ acts injectively on it. In \c…

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…

math.RT2022

Category $O$ for the Lie algebra of vector fields on the line

Genqiang Liu, Mingjie Li

Let $W$ be the Lie algebra of vector fields on the line. Via computing extensions between all simple modules in the category $O$ , we give the block decompositi…

Irreducible cuspidal sln+1​-modules from finite-dimensional modules over the minimal nilpotent finite W-algebra

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

Category O for the Lie algebra of vector fields on the line

Irreducible cuspidal $sl_{n + 1}$ -modules from finite-dimensional modules over the minimal nilpotent finite $W$ -algebra

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

Category $O$ for the Lie algebra of vector fields on the line