Formal degrees and L--packets of unipotent discrete series representations of exceptional p--adic groups

DOI10.1515/crll.2000.023zbMath0947.20026OpenAlexW2037930653MaRDI QIDQ4950427

Mark Reeder

Publication date: 29 March 2000

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crll.2000.023

zbMATH Keywords

affine Hecke algebrasLanglands correspondences\(L\)-packetsformal degreescuspidal unipotent representationsexceptional Chevalley groups over \(p\)-adic fieldssquare-integrable unipotent representations

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Unitary representations of locally compact groups (22D10) Analysis on (p)-adic Lie groups (22E35) Representations of Lie and linear algebraic groups over local fields (22E50) Linear algebraic groups over local fields and their integers (20G25)

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A uniform classification of discrete series representations of affine Hecke algebras, ON FORMAL DEGREES OF UNIPOTENT REPRESENTATIONS, Arithmetic invariants of discrete Langlands parameters, Spectral correspondences for affine Hecke algebras, Discrete series characters for affine Hecke algebras and their formal degrees., On characters and formal degrees of discrete series of affine Hecke algebras of classical types., Representations of reductive groups over local fields, On a uniqueness property of supercuspidal unipotent representations, Multiplicity matrices for the affine graded Hecke algebra., Formal degrees and adjoint 𝛾-factors, A Note on the Spectral Transfer Morphisms for Affine Hecke Algebras, Spectral transfer morphisms for unipotent affine Hecke algebras, On unitary unipotent representations of 𝑝-adic groups and affine Hecke algebras with unequal parameters, Green polynomials of Weyl groups, elliptic pairings, and the extended Dirac index, Cuspidal local systems and graded Hecke algebras, III, Classification of unipotent representations of simple 𝑝-adic groups, II, Formal degrees of unipotent discrete series representations and the exotic Fourier transform, Simple supercuspidals and the Langlands correspondence, Matrices for affine Hecke modules

Uses Software

• GAP
• Maple
• CHEVIE

Cites Work

• Representation theory and sheaves on the Bruhat-Tits building
• On some Bruhat decomposition and the structure of the Hecke rings of \(p\)-adic Chevalley groups
• Unnamed Item