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Special unipotent representations of simple linear Lie groups of type A

Published 10 Apr 2023 in math.RT | (2304.04495v2)

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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