Zhanqiang Bai

collaborators

4 papers

math.RT2025

A characterization of Kazhdan-Lusztig right cells containing smooth elements

Zhanqiang Bai, Zheng-an Chen

Let $g$ be the Lie algebra $sl (n, C)$ . Its Weyl group is the symmetric group $S_{n}$ . In this paper, we want to describe some Kazhdan-Lusztig right cell…

math.RT2024

A characterization of socular highest weight modules and Richardson orbits of classical types

Zhanqiang Bai, Shaoyi Zhang

Let $g$ be a simple complex Lie algebra of classical type with a Cartan subalgebra $h$ . We fix a standard parabolic subalgebra $\mathfrak{p}\supset \mathfrak{…

math.RT2024

Associated varieties of minimal highest weight modules

Zhanqiang Bai, Jia-Jun Ma, Wei Xiao +1

Let $g$ be a complex simple Lie algebra. A simple $g$ -module is called minimal if the associated variety of its annihilator ideal coincides with the closure o…

math.RT2024

On the annihilator variety of a highest weight module for classical Lie algebras

Zhanqiang Bai, Jia-Jun Ma, Yutong Wang

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