3 papers
math.RT2024
On the annihilator variety of a highest weight Harish-Chandra module
Zhanqiang Bai, Jing Jiang
Let be a Hermitian type Lie group with maximal compact subgroup . Let be a highest weight Harish-Chandra module of with the infinitesimal character . By using…
math.RT2024
On the associated variety of a highest weight Harish-Chandra module
Zhanqiang Bai, Markus Hunziker, Xun Xie +1
We prove a simple formula that calculates the associated variety of a highest weight Harish-Chandra module directly from its highest weight. We also give a formula for the Gelfand-…
math.RT2023
Irreducible representations of of minimal Gelfand-Kirillov dimension
Zhanqiang Bai, Yangyang Chen, Dongwen Liu +1
In this article, by studying the Bernstein degrees and Goldie rank polynomials, we establish a comparison between the irreducible representations of p…