作者:MULLER, D; RICCI, F; STEIN, EM
作者单位:Centre National de la Recherche Scientifique (CNRS); Universites de Strasbourg Etablissements Associes; Universite de Strasbourg; Polytechnic University of Turin; Princeton University
作者:WINTENBERGER, JP
作者单位:Universites de Strasbourg Etablissements Associes; Universite de Strasbourg; Centre National de la Recherche Scientifique (CNRS)
摘要:Let rho(l) : G(E) --> H(Q(l)) be a system of l-adic Galois representations associated to a motive over a number field E with values in the algebraic group H. Let H' --> H be a central isogeny such that the complex Hedge structure lifts to H'. The main result is that, under some convenient hypothesis, and after restriction to a finite extension, the system of Galois representations lifts to H'.