Special Unipotent Representations of Simple Linear Lie Groups of Type A

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发表日期：

2024年3月15日

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Dan Barbasch,
Jia Jun Ma,
Bin Yong Sun,
Chen Bo Zhu

摘要

Let G be a special linear group over the real, the complex or the quaternion, or a special unitary group. In this note, we determine all special unipotent representations of G in the sense of Arthur and Barbasch–Vogan, and show in particular that all of them are unitarizable.