Jia-Jun Ma

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math.RT2025

Special unipotent representations of real classical groups: construction and unitarity

Dan Barbasch, Jia-Jun Ma, Binyong Sun +1

Let $G$ be a real classical group (including the real metaplectic group). We consider a nilpotent adjoint orbit $O ˇ$ of $G ˇ$ , the Langlands dual of $G$ (or th…

math.RT2025

Special unipotent representations of real classical groups: counting and reduction

Dan Barbasch, Jia-Jun Ma, Binyong Sun +1

Let $G$ be a real reductive group in Harish-Chandra's class. We derive some consequences of theory of coherent continuation representations to the counting of irreducible represent…

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…