@article {IOPORT.05554704,
    author       = {Manoharmayum, Jayanta},
    title        = {Lifting Galois representations of number fields.},
    year         = {2009},
    journal      = {Journal of Number Theory},
    volume       = {129},
    number       = {5},
    issn         = {0022-314X},
    pages        = {1178-1190},
    publisher    = {Elsevier Science (Academic Press), San Diego, CA},
    doi          = {10.1016/j.jnt.2008.10.001},
    abstract     = {Summary: Let $F$ be a number field. Given a continuous representation $\overline \rho: G_F \to \text{GL}_2(\bar \Bbb F_\ell)$ with insoluble image we show, under moderate assumptions at primes dividing $\ell \infty $, that $\bar \rho \sim \rho $ for some continuous representation $\rho : G_F \to \text{GL}_2(\overline {\Bbb Q} _\ell)$ which is unramified outside finitely many primes. We also establish level lowering when $F$ is totally real, $\overline \rho $ is the reduction of a nearly ordinary Hilbert modular form and is distinguished at $\ell $.},
    identifier   = {05554704},
}