Special unipotent representations of simple linear Lie groups of type A

2023/04/10 by Barbasch, Dan, Ma, Jia-Jun, Sun, Binyong +1
#22E46 #22E47 #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2304.04495

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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