We prove the indecomposability of the Galois representation restricted to the -decomposition group attached to a non CM nearly -ordinary weight two Hilbert modular form over a totally real field under the assumption that either the degree of over is odd or the automorphic representation attached to the Hilbert modular form is square integrable at some finite place of .
Nous prouvons l’indécomposabilité de la représentation galoisienne restreinte au groupe de -décomposition attaché à une forme modulaire quasi-ordinaire de Hilbert sans multiplication complexe de poids sous certainess hypothèses.
Keywords: Galois representation, Hilbert modular forms, complex multiplication
Mot clés : Représentation galoisienne, formes modulaires de Hilbert, multiplication complexe
@article{AIF_2014__64_4_1521_0, author = {Zhao, Bin}, title = {Local {Indecomposability} of {Hilbert} {Modular} {Galois} {Representations}}, journal = {Annales de l'Institut Fourier}, pages = {1521--1560}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {64}, number = {4}, year = {2014}, doi = {10.5802/aif.2889}, zbl = {06387316}, mrnumber = {3329672}, language = {en}, url = {http://www.numdam.org/articles/10.5802/aif.2889/} }
TY - JOUR AU - Zhao, Bin TI - Local Indecomposability of Hilbert Modular Galois Representations JO - Annales de l'Institut Fourier PY - 2014 SP - 1521 EP - 1560 VL - 64 IS - 4 PB - Association des Annales de l’institut Fourier UR - http://www.numdam.org/articles/10.5802/aif.2889/ DO - 10.5802/aif.2889 LA - en ID - AIF_2014__64_4_1521_0 ER -
%0 Journal Article %A Zhao, Bin %T Local Indecomposability of Hilbert Modular Galois Representations %J Annales de l'Institut Fourier %D 2014 %P 1521-1560 %V 64 %N 4 %I Association des Annales de l’institut Fourier %U http://www.numdam.org/articles/10.5802/aif.2889/ %R 10.5802/aif.2889 %G en %F AIF_2014__64_4_1521_0
Zhao, Bin. Local Indecomposability of Hilbert Modular Galois Representations. Annales de l'Institut Fourier, Volume 64 (2014) no. 4, pp. 1521-1560. doi : 10.5802/aif.2889. http://www.numdam.org/articles/10.5802/aif.2889/
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