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Special unipotent representations of simple linear Lie groups of type A

Dan Barbasch · Jia-Jun Ma · Binyong Sun · Chen-Bo Zhu

2023 · arXiv preprint0 Foruma page views

Primary:math.RTRepresentation Theory
arXiv:2304.04495v2Source snapshot · 31 Oct 2023View source

Abstract

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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First submitted 10 Apr 2023. Metadata retrieved 27 Oct 2026. Page created 27 Oct 2026.

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