Finitude pour les représentations lisses de groupes p-adiques

DOI10.1017/S1474748008000054zbMath1158.22020MaRDI QIDQ3616459

Jean-François Dat

Publication date: 25 March 2009

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

zbMATH Keywords

finiteness properties\(p\)-adic groupsmodular representationsparabolic inductionintegral modelssecond adjointness

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50)

Related Items (31)

The Right Adjoint of the Parabolic Induction ⋮ Parabolic induction in characteristic \(p\) ⋮ L’involution de Zelevinski modulo ℓ ⋮ Representations of a reductive \(p\)-adic group in characteristic distinct from \(p\) ⋮ Cuspidal irreducible complex or \(l\)-modular representations of quaternionic forms of \(p\)-adic classical groups for odd \(p\) ⋮ \(\ell\)-integral nonabelian Lubin-Tate theory ⋮ A p$p$‐adic approach to the existence of level‐raising congruences ⋮ INTERTWINING SEMISIMPLE CHARACTERS FOR -ADIC CLASSICAL GROUPS ⋮ Representations of \(p\)-adic groups over commutative rings ⋮ Derived right adjoints of parabolic induction: an example ⋮ On the exactness of ordinary parts over a local field of characteristic \(p\) ⋮ Semisimple types for \(p\)-adic classical groups ⋮ Modulo $p$ representations of reductive $p$-adic groups: Functorial properties ⋮ Smooth representations modulo \(\ell\) of \(\mathrm{GL}_m(D)\) ⋮ Induced lattices of Lubin-Tate elliptic representations. ⋮ Jordan blocks of cuspidal representations of symplectic groups ⋮ Endo-parameters for \(p\)-adic classical groups ⋮ Semisimple characters for inner forms II: Quaternionic forms of 𝑝-adic classical groups (𝑝 odd) ⋮ Beta extensions and cuspidal types for \(p\)-adic spin groups ⋮ Principal series for general linear groups over finite commutative rings ⋮ Hecke algebra with respect to the pro-\(p\)-radical of a maximal compact open subgroup for \(\mathrm{GL}(n,F)\) and its inner forms ⋮ Représentations banales de ⋮ THE BERNSTEIN CENTER OF THE CATEGORY OF SMOOTH -MODULES ⋮ Sur les -blocs de niveau zéro des groupes -adiques ⋮ Simple subquotients of big parabolically induced representations of \(p\)-adic groups ⋮ The universal unramified module for \(\mathrm{GL}(n)\) and the Ihara conjecture ⋮ A VARIANT OF HARISH-CHANDRA FUNCTORS ⋮ Cuspidal \(\ell\)-modular representations of \(p\)-adic classical groups ⋮ \(l\)-adic étale cohomology of Shimura varieties of Hodge type with non-trivial coefficients ⋮ Categorical representations and classical \(p\)-adic groups ⋮ Unnamed Item

Cites Work

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• Unrefined minimal \(K\)-types for \(p\)-adic groups
• On Harish-Chandra induction and restriction for modules of Levi subgroups
• Cohomology of sheaves on the building and \(R\)-representations
• Building of \(\mathrm{GL}(m,D)\) and centralizers
• On finite group actions on reductive groups and buildings
• \(\nu\)-tempered representations of \(p\)-adic groups. I: \(l\)-adic case
• Semisimple characters for \(p\)-adic classical groups
• Jacquet functors and unrefined minimal \(K\)-types
• Groupes reductifs
• Construction of tame supercuspidal representations
• Intertwining and Supercuspidal Types for p -Adic Classical Groups
• Representations of Reductive p -Adic Groups: Localization of Hecke Algebras and Applications
• Supercuspidal representations: An exhaustion theorem

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