Zhanqiang Bai

activity

20232026

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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.RT2025

Gelfand-Kirillov dimensions and annihilator varieties of highest weight modules of exceptional Lie algebras

Zhanqiang Bai, Fan Gao, Yutong Wang +1

Let $L (λ)$ be an irreducible highest weight module of a complex simple Lie algebra of exceptional type, with highest weight $λ - ρ$ , where $ρ$ is half the sum of positive roots. Its…