Unitary spherical spectrum for split classical groups

2006/09/29 by Dan Barbasch, Barbasch, Dan · 3 citations
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #Finite Group Theory Research #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.math/0609828

openalex publication_date 2006/09/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper gives a complete classification of the unitary irreducible spherical representations of split real and p-adic groups. The results were obtained around 2000, the changes to the new version are expository.

Cited by

• Unitary representations attached to parabolic subgroups: the case of abelian unipotent radical
• The FPP Conjecture for p-adic Groups
• Certain Induced Complementary Series of the Universal Covering of the Symplectic Group

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