Irreducibility of wave-front sets for depth zero cuspidal representations

MaRDI QIDQ6623484

Eitan Sayag, Dmitry Gourevitch, Avraham Aizenbud

Publication date: 24 October 2024

Published in: Journal of Lie Theory (Search for Journal in Brave)

zbMATH Keywords

characterrepresentationreductive groupalgebraic groupnilpotent orbitwave-front setnon-commutative harmonic analysisgeneralized Gelfand-Graev models

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Semisimple Lie groups and their representations (22E46) Analysis on (p)-adic Lie groups (22E35) Representations of Lie and linear algebraic groups over local fields (22E50) Representations of finite groups of Lie type (20C33) Linear algebraic groups over adèles and other rings and schemes (20G35)

Cites Work

• Title not available (Why is that?)
• Character sheaves. I
• Modèles de Whittaker dégénéres pour des groupes p-adiques. (Degenerate Whittaker models of p-adic groups)
• Unrefined minimal \(K\)-types for \(p\)-adic groups
• Representations of unipotent reduction for \(\mathrm{SO}(2n+1)\). III: Examples of wave fronts
• Parametrizing nilpotent orbits via Bruhat-Tits theory
• Jacquet functors and unrefined minimal \(K\)-types
• Wave fronts of tempered representations with unipotent reduction for \(\mathrm{SO}(2n+1)\)
• GENERALIZED GELFAND–GRAEV REPRESENTATIONS IN SMALL CHARACTERISTICS
• Homogeneity results for invariant distributions of a reductive p-adic group1
• Local character expansions
• The unicity of types for depth-zero supercuspidal representations
• SUPPORTS UNIPOTENTS DE FAISCEAUX CARACTÈRES
• Geometric wave-front set may not be a singleton

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