Pro- Iwahori–Hecke algebras are Gorenstein

DOI10.1017/S1474748013000303zbMath1342.20004arXiv1207.3769OpenAlexW2963428690MaRDI QIDQ2921050

Rachel Ollivier, Peter Schneider

Publication date: 30 September 2014

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

Full work available at URL: https://arxiv.org/abs/1207.3769

zbMATH Keywords

dualitiescohomological dimensionsGorenstein rings\(\mathrm{pro}_p\) Iwahori-Hecke algebras

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Representation theory for linear algebraic groups (20G05) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Representations of Lie and linear algebraic groups over local fields (22E50)

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Parabolic induction in characteristic \(p\) ⋮ Differential equations and Lie group representations ⋮ Coefficient Systems on the Bruhat-Tits Building and Pro-𝑝 Iwahori-Hecke Modules ⋮ EXTENSION BETWEEN SIMPLE MODULES OF PRO-p-IWAHORI HECKE ALGEBRAS ⋮ On the pro-$p$ Iwahori Hecke Ext-algebra of $\mathrm{SL}_2(\mathbb{Q}_p)$ ⋮ Representations of \(p\)-adic groups over commutative rings ⋮ A canonical torsion theory for pro-\(p\) Iwahori-Hecke modules ⋮ On extensions of supersingular representations of \(\mathrm{SL}_2(\mathbb{Q}_p)\) ⋮ From pro-\(p\) Iwahori-Hecke modules to \((\phi ,\Gamma)\)-modules. I. ⋮ An inverse Satake isomorphism in characteristic \(p\)

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