{
  "id": "math/0403240",
  "version": "v1",
  "published": "2004-03-15T12:26:02.000Z",
  "updated": "2004-03-15T12:26:02.000Z",
  "title": "Coefficient systems and supersingular representations of $GL_2(F)$",
  "authors": [
    "Vytautas Paskunas"
  ],
  "comment": "90 pages",
  "categories": [
    "math.RT",
    "math.NT"
  ],
  "abstract": "Let $F$ be a non-Archimedean local field with the residual characteristic $p$. We construct a \"good\" number of smooth irreducible $\\bar{\\mathbf{F}}_p$-representations of $GL_2(F)$, which are supersingular in the sense of Barthel and Livn\\'e. If $F=\\mathbf{Q}_p$ then results of Breuil imply that our construction gives all the supersingular representations up to the twist by an unramified quasi-character. We conjecture this is true for arbitrary $F$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-03-15T12:26:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E50"
    ],
    "keywords": [
      "supersingular representations",
      "coefficient systems",
      "non-archimedean local field",
      "residual characteristic",
      "construction"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 90,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......3240P"
    }
  }
}