\(\nu\)-tempered representations of \(p\)-adic groups. I: \(l\)-adic case

DOI10.1215/S0012-7094-04-12631-4zbMath1063.22017MaRDI QIDQ1770131

Jean-François Dat

Publication date: 9 April 2005

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

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (13)

Block decomposition of the category of smooth \(\ell\)-modular representations of finite length of \(\mathrm{GL}_m(D)\) ⋮ Generalized Whittaker functions and Jacquet modules ⋮ Representations of \(p\)-adic groups over commutative rings ⋮ Smooth representations modulo \(\ell\) of \(\mathrm{GL}_m(D)\) ⋮ Induced lattices of Lubin-Tate elliptic representations. ⋮ Rankin-Selberg local factors modulo \(\ell \) ⋮ A geometric construction of intertwining operators for reductive \(p\)-adic groups ⋮ Représentations banales de ⋮ Sur les -blocs de niveau zéro des groupes -adiques ⋮ Finitude pour les représentations lisses de groupes p-adiques ⋮ Espaces symétriques de Drinfeld et correspondance de Langlands locale ⋮ Unnamed Item ⋮ On the Kottwitz conjecture for local shtuka spaces

Cites Work

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• \(l\)-modular representations of a \(p\)-adic reductive group with \(l\neq p\)
• Harmonic analysis on reductive \(p\)-adic groups. Notes by G. van Dijk
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• Induced representations of reductive ${\germ p}$-adic groups. I
• LA FORMULE DE PLANCHEREL POUR LES GROUPES p-ADIQUES. DAPRS HARISH-CHANDRA
• Induced representations of GL (n, A) for p-adic division algebras A.
• DCOMPOSITION SPECTRALE ET REPRSENTATIONS SPCIALES DUN GROUPE RDUCTIF $p$-ADIQUE

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