Quadratic unipotent representations: \(p\)-adic classical groups

DOI10.1215/S0012-7094-96-08410-0zbMath0864.22008MaRDI QIDQ1922125

Colette Moeglin

Publication date: 22 October 1996

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

automorphic formsreductive groupwave front setJordan decompositionArthur parametersunipotent representations

Mathematics Subject Classification ID

Analysis on (p)-adic Lie groups (22E35) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items

Sur la classification des séries discrètes des groupes classiques \(p\)-adiques: paramètres de Langlands et exhaustivité. (On the classification of discrete series of classical \(p\)-adic groups: Langlands parameters and exhaustivity.) ⋮ Representations of unipotent reduction for \(\mathrm{SO}(2n+1)\). III: Examples of wave fronts ⋮ Construction of discrete series for classical 𝑝-adic groups ⋮ Reducibility points for representations induced from cuspidal ones ⋮ REPRÉSENTATIONS DE RÉDUCTION UNIPOTENTE POUR , II : ENDOSCOPIE ⋮ Paquets d’Arthur des groupes classiques complexes ⋮ Wave fronts of tempered representations with unipotent reduction for \(\mathrm{SO}(2n+1)\) ⋮ Representations of unipotent reduction for SO(2n+1), I: an involution

Cites Work

• Intersection cohomology complexes on a reductive group
• On the local theta-correspondence
• Modèles de Whittaker dégénéres pour des groupes p-adiques. (Degenerate Whittaker models of p-adic groups)
• Howe correspondences on a \(p\)-adic field
• The Principal Three-Dimensional Subgroup and the Betti Numbers of a Complex Simple Lie Group
• Représentations unipotentes et formes automorphes de carré intégrable
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