Hecke algebras and harmonic analysis on p -adic groups

Mark Reeder

doi:10.1353/ajm.1997.0005

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Hecke algebras and harmonic analysis on p -adic groups

Mark Reeder

Year: 1997 Journal: American Journal of Mathematics Vol: 119 (1)Pages: 225-249 Publisher: Johns Hopkins University Press

DOI: 10.1353/ajm.1997.0005

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Abstract

We compute Plancherel measures and formal degrees for unipotent representations of p -adic groups, using Hecke algebra isomorphisms. The results verify special cases of the conjectural uniformity of formal degrees in an L -packet.

Keywords:

Mathematics Pure mathematics Harmonic Harmonic analysis Algebra over a field Mathematical analysis Quantum mechanics

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Advanced Algebra and Geometry

Physical Sciences → Mathematics → Mathematical Physics

advanced mathematical theories

Physical Sciences → Mathematics → Mathematical Physics

Algebraic structures and combinatorial models

Physical Sciences → Mathematics → Geometry and Topology

Hecke algebras and harmonic analysis on p -adic groups

Abstract

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