Article
Unramified ℓ-modular representations of GLn(F) and its inner forms
Author/s | Mínguez Espallargas, Alberto
Sécherre, Vincent |
Department | Universidad de Sevilla. Departamento de álgebra |
Publication Date | 2014 |
Deposit Date | 2018-02-15 |
Published in |
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Abstract | Let 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 ... Let 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. |
Project ID. | ANR-08-BLAN-0259-01
ANR-10-BLANC-0114 EP/G001480/1 MTM2010-19298 |
Citation | Mínguez 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. |
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