Special Unipotent Representations of Simple Linear Lie Groups of Type A

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

Acta Mathematica Sinica, English Series（2024）

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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.

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关键词

Special unipotent representations,unitary representations,coherent continuation,Weyl group representations

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