Local Indecomposability of Hilbert Modular Galois Representations
[Indécomposabilité locale des représentations modulaires galoisiennes de Hilbert]
Annales de l'Institut Fourier, Tome 64 (2014) no. 4, pp. 1521-1560.

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.

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 is odd or the automorphic representation attached to the Hilbert modular form is square integrable at some finite place of F.

DOI : 10.5802/aif.2889
Classification : 11F80, 11G18, 14K22
Keywords: Galois representation, Hilbert modular forms, complex multiplication
Mot clés : Représentation galoisienne, formes modulaires de Hilbert, multiplication complexe
Zhao, Bin 1

1 Department of Mathematics, UCLA, Los Angeles, CA 90095-1555, USA
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Zhao, Bin. Local Indecomposability of Hilbert Modular Galois Representations. Annales de l'Institut Fourier, Tome 64 (2014) no. 4, pp. 1521-1560. doi : 10.5802/aif.2889. http://archive.numdam.org/articles/10.5802/aif.2889/

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