Mínguez Espallargas, AlbertoSécherre, Vincent2018-02-152018-02-152014Mínguez Espallargas, A. y Sécherre, V. (2014). Unramified ℓ-modular representations of GLn(F) and its inner forms. International Mathematics Research Notices, 2014 (8), 2090-2118.1073-79281687-0247https://hdl.handle.net/11441/70303Let F be a non-Archimedean locally compact field of residue characteristic p and R be an algebraically closed field of characteristic l different from p. Let G be the group GLn, n ¥ 1, over F or one of its inner forms. In this article, we prove that the unramified irreducible smooth R-representations of G(F) are those representations that are irreducibly induced from an unramified character of a Levi subgroup. We deduce that any irreducible unramified Fl-representation of G(F) can be lifted to Ql, which proves a conjecture by Vignéras.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.1093/imrn/rns278