{
  "id": "2003.00781",
  "version": "v1",
  "published": "2020-03-02T11:48:38.000Z",
  "updated": "2020-03-02T11:48:38.000Z",
  "title": "On non-admissible irreducible modulo $p$ representations of $GL_{2}(\\mathbb{Q}_{p^{2}})$",
  "authors": [
    "Eknath Ghate",
    "Mihir Sheth"
  ],
  "comment": "6 pages",
  "categories": [
    "math.RT",
    "math.NT"
  ],
  "abstract": "We use a Diamond diagram attached to a $2$-dimensional reducible split mod $p$ Galois representation of $\\mathrm{Gal}(\\overline{\\mathbb{Q}_{p}}/\\mathbb{Q}_{p^{2}})$ to construct a non-admissible smooth irreducible mod $p$ representation of $GL_{2}(\\mathbb{Q}_{p^{2}})$ following the approach of Daniel Le.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-03-02T11:48:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E50",
      "11S37"
    ],
    "keywords": [
      "non-admissible irreducible modulo",
      "dimensional reducible split mod",
      "diamond diagram",
      "galois representation",
      "non-admissible smooth irreducible mod"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}