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On Certain Classes of Unitary Representations for Split Classical Groups

Published:2007-02-01
Printed: Feb 2007
• Goran Muić
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Abstract

In this paper we prove the unitarity of duals of tempered representations supported on minimal parabolic subgroups for split classical $p$-adic groups. We also construct a family of unitary spherical representations for real and complex classical groups
 MSC Classifications: 22E35 - Analysis on $p$-adic Lie groups 22E50 - Representations of Lie and linear algebraic groups over local fields [See also 20G05] 11F70 - Representation-theoretic methods; automorphic representations over local and global fields