Parabolic induction and Hecke modules in characteristic \(p\) for \(p\)-adic GL\(_n\)

DOI10.2140/ant.2010.4.701zbMath1243.22017OpenAlexW2070467432MaRDI QIDQ600785

Rachel Ollivier

Publication date: 2 November 2010

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/ant.2010.4.701

zbMATH Keywords

parabolic inductionSatake transformintegral Bernstein presentationmod p representation of Hecke algebras and p-adic groups

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Representation theory for linear algebraic groups (20G05) Representations of Lie and linear algebraic groups over local fields (22E50)

Related Items (13)

Parabolic induction in characteristic \(p\) ⋮ Cocenters and representations of pro-𝑝 Hecke algebras ⋮ A classification of irreducible admissible mod 𝑝 representations of 𝑝-adic reductive groups ⋮ Representations of \(p\)-adic groups over commutative rings ⋮ A canonical torsion theory for pro-\(p\) Iwahori-Hecke modules ⋮ Modulo \(p\) parabolic induction of pro-\(p\)-Iwahori Hecke algebra ⋮ Parabolic induction via the parabolic pro-𝑝 Iwahori–Hecke algebra ⋮ THE PRO-p-IWAHORI HECKE ALGEBRA OF A REDUCTIVEp-ADIC GROUP III (SPHERICAL HECKE ALGEBRAS AND SUPERSINGULAR MODULES) ⋮ Parabolic inductions for pro-\(p\)-Iwahori Hecke algebras ⋮ From pro-\(p\) Iwahori-Hecke modules to \((\phi ,\Gamma)\)-modules. I. ⋮ Universal modules in natural characteristic for finite reductive groups. ⋮ Supersingular Hecke modules as Galois representations ⋮ An inverse Satake isomorphism in characteristic \(p\)

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