On characters and formal degrees of discrete series of affine Hecke algebras of classical types.

DOI10.1007/s00222-011-0338-3zbMath1270.20002arXiv1001.4312OpenAlexW2084768467MaRDI QIDQ411383

Syu Kato, Dan Ciubotaru, Midori Shiota

Publication date: 4 April 2012

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.4312

zbMATH Keywords

algorithmsdiscrete seriescharacters of tempered modulesformal degreesrepresentations of affine Hecke algebras

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Analysis on (p)-adic Lie groups (22E35) Representations of Lie and linear algebraic groups over local fields (22E50)

Related Items (10)

Affine Hecke algebras via DAHA ⋮ A uniform classification of discrete series representations of affine Hecke algebras ⋮ Spectral correspondences for affine Hecke algebras ⋮ A vanishing theorem for Dirac cohomology of standard modules ⋮ Characters of Springer representations on elliptic conjugacy classes ⋮ On calibrated representations and the Plancherel theorem for affine Hecke algebras ⋮ Affine Hecke algebras and their representations ⋮ Algebraic and analytic Dirac induction for graded affine Hecke algebras ⋮ Spectral transfer morphisms for unipotent affine Hecke algebras ⋮ Formal degrees of unipotent discrete series representations and the exotic Fourier transform

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