Let G be an inner form of a general linear group over a nonarchimedean locally compact field of residue characteristic p, let R be an algebraically closed field of characteristic different from p and let R R (G) be the category of smooth representations of G over R. In this paper, we prove that a block (indecomposable summand) of R R (G) is equivalent to a level-0 block (a block in which every simple object has nonzero invariant vectors for the pro-p-radical of a maximal compact open subgroup) of R R (G ′ ), where G ′ is a direct product of groups of the same type of G.
Chinello, G. (2018). Blocks of the category of smooth ℓ-modular representations of GL(n, F) and its inner forms: Reduction to level 0. ALGEBRA & NUMBER THEORY, 12(7), 1675-1713 [10.2140/ant.2018.12.1675].
Citazione: | Chinello, G. (2018). Blocks of the category of smooth ℓ-modular representations of GL(n, F) and its inner forms: Reduction to level 0. ALGEBRA & NUMBER THEORY, 12(7), 1675-1713 [10.2140/ant.2018.12.1675]. | |
Tipo: | Articolo in rivista - Articolo scientifico | |
Carattere della pubblicazione: | Scientifica | |
Presenza di un coautore afferente ad Istituzioni straniere: | No | |
Titolo: | Blocks of the category of smooth ℓ-modular representations of GL(n, F) and its inner forms: Reduction to level 0 | |
Autori: | Chinello, G | |
Autori: | CHINELLO, GIANMARCO (Corresponding) | |
Data di pubblicazione: | 2018 | |
Lingua: | English | |
Rivista: | ALGEBRA & NUMBER THEORY | |
Digital Object Identifier (DOI): | http://dx.doi.org/10.2140/ant.2018.12.1675 | |
Appare nelle tipologie: | 01 - Articolo su rivista |
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