Représentations P-adiques Et Normes Universelles
نویسنده
چکیده
Let V be a crystalline p-adic representation of the absolute Galois group GK of an finite unramified extension K of Qp and T a lattice of V stable by GK . We prove the following result : Let FilV be the maximal sub-representation of V with Hodge-Tate weights strictly positive and FilT = T ∩ FilV . Then, the projective limit of the H g (K(μpn), T ) is equal up to torsion to the projective limit of the H(K(μpn),Fil T ). So its rank over the Iwasawa algebra is [K : Qp] dimFil V . Classification AMS : 11E95 11R23 Mots clés : représentations p-adiques, Iwasawa, normes universelles
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