Zhanqiang Bai

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20232026

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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-ph2026

Symmetry Regularization of 1D Generalized Coulomb Problems

Zhanqiang Bai, Junwei Ma, Guowu Meng

For the 1D generalized Coulomb problems--a family that includes the quantizations of the 1D generalized Kepler problems of Ma-Meng-Xiao \cite{MMX2025}--we construct two explicit un…

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…