Block decomposition of the category of $\ell$-modular smooth representations of $GL_n(F)$ and its inner forms

DOI10.24033/asens.2293zbMath1346.22009arXiv1402.5349OpenAlexW2964239469MaRDI QIDQ2811190

Shaun Stevens, Vincent Sécherre

Publication date: 10 June 2016

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.5349

zbMATH Keywords

typesrepresentations of \(p\)-adic groups

Mathematics Subject Classification ID

Modular representations and characters (20C20) Representations of Lie and linear algebraic groups over local fields (22E50)

Related Items (14)

The inertial Jacquet-Langlands correspondence ⋮ Category decomposition of \(\operatorname{Rep}_k( \mathrm{SL}_n(F))\) ⋮ L’involution de Zelevinski modulo ℓ ⋮ The Breuil-Mézard conjecture when \(l\neq p\) ⋮ Block decomposition of the category of smooth \(\ell\)-modular representations of finite length of \(\mathrm{GL}_m(D)\) ⋮ Unipotent \(\ell\)-blocks for simply connected \(p\)-adic groups ⋮ Representations of \(p\)-adic groups over commutative rings ⋮ Endo-parameters for \(p\)-adic classical groups ⋮ Affine quiver Schur algebras and \(p\)-adic \(\mathrm{GL}_n\) ⋮ Hecke algebra with respect to the pro-\(p\)-radical of a maximal compact open subgroup for \(\mathrm{GL}(n,F)\) and its inner forms ⋮ Sur les -blocs de niveau zéro des groupes -adiques ⋮ Towards an explicit local Jacquet–Langlands correspondence beyond the cuspidal case ⋮ Canonical \(\beta\)-extensions ⋮ Local Jacquet-Langlands corespondence and congruences modulo \(\ell\)

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