Corrigendum to: Irreducibility of automorphic Galois representations of $\mathrm{GL}\left(n\right)$, $n$ at most $5$
Annales de l'Institut Fourier, Volume 67 (2017) no. 1, p. 267-268

We explain a serious error in our original paper, which means that the main claimed theorems remain unproved.

Nous expliquons une erreur qui invalide la preuve des principaux théorèmes de l’article.

Accepted : 2016-10-17
Published online : 2017-01-10
DOI : https://doi.org/10.5802/aif.3081
Classification:  11F80,  11R39
Keywords: Galois representations, automorphic representations
@article{AIF_2017__67_1_267_0,
author = {Calegari, Frank and Gee, Toby},
title = {Corrigendum to: Irreducibility of automorphic Galois representations of $\mathrm{GL}(n)$, $n$ at most $5$},
journal = {Annales de l'Institut Fourier},
publisher = {Association des Annales de l'institut Fourier},
volume = {67},
number = {1},
year = {2017},
pages = {267-268},
doi = {10.5802/aif.3081},
language = {en},
url = {http://www.numdam.org/item/AIF_2017__67_1_267_0}
}

Calegari, Frank; Gee, Toby. Corrigendum to: Irreducibility of automorphic Galois representations of $\mathrm{GL}(n)$, $n$ at most $5$. Annales de l'Institut Fourier, Volume 67 (2017) no. 1, pp. 267-268. doi : 10.5802/aif.3081. http://www.numdam.org/item/AIF_2017__67_1_267_0/

[1] Calegari, Franck; Gee, Toby Irreducibility of automorphic Galois representations of $\mathrm{GL}\left(n\right)$, $n$ at most $5$, Ann. Inst. Fourier, Tome 63 (2013) no. 5, pp. 1881-1912

[2] Ramakrishnan, Dinakar Decomposition and parity of Galois representations attached to $\mathrm{GL}\left(4\right)$, Automorphic representations and $L$-functions, Tata Institute of Fundamental Research (Studies in Mathematics. Tata Institute of Fundamental Research) Tome 22 (2013), pp. 427-454 (Proceedings of the international colloquium, Mumbai, India, January 3–11, 2012)