Jing Jiang

activity

20242026

collaborators

5 papers

math.RT2026

A new proof for the partition algorithm of the annihilator varieties of highest weight modules

Zhanqiang Bai, Jing Jiang, Yongzhi Luan

Let $L (λ)$ be a simple highest weight module of a classical Lie algebra $g$ with highest weight $λ - ρ$ , where $ρ$ is half the sum of positive roots. Joseph proved that th…

math.RT2026

Gelfand--Kirillov dimensions of highest weight modules for basic classical Lie superalgebras

Jing Jiang

We give exact Gelfand--Kirillov (GK) dimension formulas for simple highest weight modules of the basic classical Lie superalgebras considered in this paper. For the type II orthosy…

math.RT2026

Associated varieties of integral minimal highest weight modules

Zhanqiang Bai, Jing Jiang, Rui Wang

Let $g$ be a complex simple Lie algebra and $L (λ)$ be a highest weight module of $g$ with highest weight $λ - ρ$ , where $ρ$ is half the sum of positive roots. A…

math.RT2025

Unitarity of highest weight Harish-Chandra modules and smoothness of Schubert varieties

Zhanqiang Bai, William Q. Erickson, Markus Hunziker +1

Let $G_{R}$ be a Lie group of Hermitian type, and $L (λ)$ a highest weight Harish-Chandra module of $G_{R}$ with highest weight $λ$ . In this article, we exhibit a…

math.RT2024

On the annihilator variety of a highest weight Harish-Chandra module

Zhanqiang Bai, Jing Jiang

Let $G$ be a Hermitian type Lie group with maximal compact subgroup $K$ . Let $L (λ)$ be a highest weight Harish-Chandra module of $G$ with the infinitesimal character $λ$ . By using…