Universal modules in natural characteristic for finite reductive groups.

DOI10.5802/AIF.2936zbMath1348.20051OpenAlexW2561138292MaRDI QIDQ748364

Vincent Sécherre, Rachel Ollivier

Publication date: 20 October 2015

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/aif.2936

zbMATH Keywords

Hecke algebrascategories of modulesmodular representationsfinite reductive groupscategories of representations

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Modular representations and characters (20C20) Representations of finite groups of Lie type (20C33)

Related Items (5)

Parabolic induction in characteristic \(p\) ⋮ L’involution de Zelevinski modulo ℓ ⋮ Coefficient Systems on the Bruhat-Tits Building and Pro-𝑝 Iwahori-Hecke Modules ⋮ A canonical torsion theory for pro-\(p\) Iwahori-Hecke modules ⋮ An inverse Satake isomorphism in characteristic \(p\)

Cites Work

• Parabolic induction and Hecke modules in characteristic \(p\) for \(p\)-adic GL\(_n\)
• Endomorphism rings of split (B,N)-pairs
• Induced \(R\)-representations of \(p\)-adic reductive groups
• Representation theory and sheaves on the Bruhat-Tits building
• Principal indecomposable representations for the group SL(2,q)
• \(l\)-modular representations of a \(p\)-adic reductive group with \(l\neq p\)
• The weight in a Serre-type conjecture for tame \(n\)-dimensional Galois representations
• A Satake isomorphism in characteristic p
• Le foncteur des invariants sous l'action du pro-p-Iwahori de GL2(F)
• Modular Representations of Finite Groups of Lie Type
• Platitude du pro-$p$-module universel de GL$_{2}(F)$ en caractéristique $p$
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