L'accouplement de Weil entre le sous-groupe de Shimura et le sous-groupe cuspidal de J [...] (p).
L-functions and periods of polarized regular motives.
Local Indecomposability of Hilbert Modular Galois Representations
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 .