Jing Jiang

collaborators

4 papers

math.RT2026

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

Jing Jiang

In this paper, we develop a combinatorial algorithm to compute the Gelfand--Kirillov (GK) dimension of simple highest weight modules for type I basic classical Lie superalgebras. B…

math.RT2026

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

Zhanqiang Bai, Jing Jiang, Yongzhi Luan

Let $L (I^»)$ be a simple highest weight module of a classical Lie algebra $g$ with highest weight $I^» - I ¨ $ , where $I ¨ $ is half the sum of positive roots. Joseph proved tha…

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 $L (I^»)$ be a highest weight module of $g$ with highest weight $I^» - I ¨ $ , where $I ¨ $ is half the sum of positive root…

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 $L (I^»)$ a highest weight Harish-Chandra module of $G_{R}$ with highest weight $I^»$ . In this article, we exhibit…