{
  "id": "0804.1942",
  "version": "v2",
  "published": "2008-04-11T17:37:32.000Z",
  "updated": "2009-02-09T11:21:36.000Z",
  "title": "On some crystalline representations of $GL_2(Q_p)$",
  "authors": [
    "Vytautas Paskunas"
  ],
  "comment": "12 pages",
  "categories": [
    "math.RT",
    "math.NT"
  ],
  "abstract": "We show that the universal unitary completion of certain locally algebraic representation of $G:=\\GL_2(\\Qp)$ with $p>2$ is non-zero, topologically irreducible, admissible and corresponds to a 2-dimensional crystalline representation with non-semisimple Frobenius via the $p$-adic Langlands correspondence for $G$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-02-09T11:21:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "crystalline representation",
      "universal unitary completion",
      "adic langlands correspondence",
      "locally algebraic representation",
      "non-semisimple frobenius"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0804.1942P"
    }
  }
}