{
  "id": "1301.7103",
  "version": "v1",
  "published": "2013-01-29T23:50:22.000Z",
  "updated": "2013-01-29T23:50:22.000Z",
  "title": "Lifting $N$-dimensional Galois representations to characteristic zero",
  "authors": [
    "Jayanta Manoharmayum"
  ],
  "comment": "28 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "Let $F$ be a number field, let $N\\geq 3$ be an integer, and let $k$ be a finite field of characteristic $\\ell$. We show that if $\\rb:G_F\\longrightarrow GL_N(k)$ is a continuous representation with image of $\\rb$ containing $SL_N(k)$ then, under moderate conditions at primes dividing $\\ell\\infty$, there is a continuous representation $\\rho:G_F\\longrightarrow GL_N(W(k))$ unramified outside finitely many primes with $\\rb\\sim\\rho\\mod{\\ell}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-01-29T23:50:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F80"
    ],
    "keywords": [
      "dimensional galois representations",
      "characteristic zero",
      "continuous representation",
      "number field",
      "finite field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1301.7103M"
    }
  }
}