Blocks of the category of smooth $\ell$-modular representations of GL$(n,F)$ and its inner forms: reduction to level 0

Autor: Gianmarco Chinello

Publikováno v: Algebra Number Theory 12, no. 7 (2018), 1675-1713

Let [math] be an inner form of a general linear group over a nonarchimedean locally compact field of residue characteristic [math] , let [math] be an algebraically closed field of characteristic different from [math] and let [math] be the category of

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::98dc839c43afb4b8967631cdd0de60d4
https://projecteuclid.org/euclid.ant/1541732438

The local Jacquet--Langlands correspondence and congruences modulo {\ell}

Autor: M��nguez, Alberto, S��cherre, Vincent

Publikováno v: Inventiones Mathematicae
Inventiones Mathematicae, Springer Verlag, 2017, 208 (2), pp.553-631. ⟨10.1007/s00222-016-0696-y⟩
Inventiones Mathematicae, 2017, 208 (2), pp.553-631. ⟨10.1007/s00222-016-0696-y⟩

Let F be a non-Archimedean local field of residual characteristic p, and {\ell} be a prime number different from p. We consider the local Jacquet-Langlands correspondence between {\ell}-adic discrete series of GL(n,F) and an inner form GL(m,D). We sh

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::762ec1ada3ae9745c9fdcf86762c4376
http://arxiv.org/abs/1507.04119

Comptage de représentations cuspidales congruentes

Autor: Sécherre, Vincent

Let $F$ be a non-Archimedean locally compact field of residue characteristic $p$, $G$ be an inner form of $GL_n(F)$, $n\ge1$, and $\ell$ be a prime number different from $p$. We give a numerical criterion for an integral $\ell$-adic irreducible cuspi

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=arXiv_dedup_::db17c0b913e32e8206aaac9a82269e92
https://hal.archives-ouvertes.fr/hal-01174800/file/comptage.pdf

Décomposition en blocs de la catégorie des représentations lisses ℓ-modulaires de GLn(F) et de ses formes intérieures

Autor: Shaun Stevens, Vincent Sécherre

Publikováno v: Annales Scientifiques de l'École Normale Supérieure
Annales Scientifiques de l'École Normale Supérieure, Société mathématique de France, 2016, 49 (3), pp.669-709. ⟨10.24033/asens.2293⟩

Let F be a non-Archimedean locally compact field of residue characteristic p, let D be a finite dimensional central division F-algebra and let R be an algebraically closed field of characteristic different from p. To any irreducible smooth representa

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::356ab411af812bacdea1e39598bae487
http://arxiv.org/abs/1402.5349