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Unitarity of Unipotent Representations of Sp(p,q) and SO*(2n) (1806.07770v1)
Published 20 Jun 2018 in math.RT
Abstract: The purpose of this paper is to define a set of representations of Sp(p,q) and SO*(2n), the unipotent representations of the title, and establish their unitarity. The unipotent representations considered here properly contain the special unipotent representations of Arthur and Barbasch-Vogan; in particular we settle the unitarity of special unipotent representations for these groups.