{
  "id": "1406.1003",
  "version": "v2",
  "published": "2014-06-04T11:11:29.000Z",
  "updated": "2015-12-26T16:55:48.000Z",
  "title": "Modulo $p$ parabolic induction of pro-$p$-Iwahori Hecke algebra",
  "authors": [
    "Noriyuki Abe"
  ],
  "comment": "44 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "We study the structure of parabolic inductions of a pro-$p$-Iwahori Hecke algebra. In particular, we give a classification of irreducible modulo $p$ representations of pro-$p$-Iwahori Hecke algebra in terms of supersingular representations. Since supersingular representations are classified by Ollivier and Vigneras, it completes the classification of irreducible modulo $p$ representations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-06-04T11:11:29.000Z",
      "comment": "39 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2015-12-26T16:55:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E50",
      "20C08"
    ],
    "keywords": [
      "iwahori hecke algebra",
      "parabolic induction",
      "supersingular representations",
      "irreducible modulo",
      "classification"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 44,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1406.1003A"
    }
  }
}