Local Indecomposability of Hilbert Modular Galois Representations

[Indécomposabilité locale des représentations modulaires galoisiennes de Hilbert]

Zhao, Bin

Annales de l'Institut Fourier, Tome 64 (2014), p. 1521-1560 / Harvested from Numdam

Résumé

Nous prouvons l’indécomposabilité de la représentation galoisienne restreinte au groupe de $p$-décomposition attaché à une forme modulaire quasi-ordinaire de Hilbert sans multiplication complexe de poids $2$ sous certainess hypothèses.

Abstract

We prove the indecomposability of the Galois representation restricted to the $p$-decomposition group attached to a non CM nearly $p$-ordinary weight two Hilbert modular form over a totally real field $F$ under the assumption that either the degree of $F$ over $\mathbb{Q}$ is odd or the automorphic representation attached to the Hilbert modular form is square integrable at some finite place of $F$.

Détail

Publié le : 2014-01-01

MR 3329672 | Zbl 06387316

DOI : https://doi.org/10.5802/aif.2889
Classification:  11F80,  11G18,  14K22
Mots clés: Représentation galoisienne, formes modulaires de Hilbert, multiplication complexe

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