{
  "id": "1602.08827",
  "version": "v1",
  "published": "2016-02-29T05:37:11.000Z",
  "updated": "2016-02-29T05:37:11.000Z",
  "title": "An application of a theorem of Emerton to mod $p$ representations of $\\mathrm{GL}_2$",
  "authors": [
    "Yongquan Hu"
  ],
  "comment": "20 pages",
  "categories": [
    "math.NT",
    "math.RT"
  ],
  "abstract": "Let $p$ be a prime and $L$ be a finite extension of $\\mathbb{Q}_p$. We study the ordinary parts of $\\mathrm{GL}_2(L)$-representations arised in the mod $p$ cohomology of Shimura curves attached to indefinite division algebras which splits at a finite place above $p$. The main tool of the proof is a theorem of Emerton \\cite{Em3}.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-02-29T05:37:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "representations",
      "application",
      "indefinite division algebras",
      "finite extension",
      "finite place"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160208827H"
    }
  }
}