{
  "id": "0908.1489",
  "version": "v3",
  "published": "2009-08-11T10:19:49.000Z",
  "updated": "2016-03-07T16:59:35.000Z",
  "title": "Characters and growth of admissible representations of reductive p-adic groups",
  "authors": [
    "Ralf Meyer",
    "Maarten Solleveld"
  ],
  "comment": "Changes in the third version: the proof of Theorem 7.2 contained some mistakes. We repaired it, but to make it work we had to adjust Definition 7.1 a little",
  "journal": "J. Inst. Math. Jussieu 11 (2012), 289-331",
  "doi": "10.1017/S1474748011000120",
  "categories": [
    "math.RT"
  ],
  "abstract": "We use coefficient systems on the affine Bruhat-Tits building to study admissible representations of reductive p-adic groups in characteristic not equal to p. We show that the character function is locally constant and provide explicit neighbourhoods of constancy. We estimate the growth of the subspaces of invariants for compact open subgroups.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-02-11T20:27:27.000Z",
      "comment": "Changes in the second version: The proof of Proposition 5.8.b has been corrected. Proposition 4.3 turned out to be false in general. We had to settle for a weaker statement, which also had its effect on the bounds in Lemma 4.4 and Theorem 7.2"
    },
    {
      "version": "v3",
      "updated": "2016-03-07T16:59:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E50",
      "20G25"
    ],
    "keywords": [
      "reductive p-adic groups",
      "compact open subgroups",
      "affine bruhat-tits",
      "character function",
      "explicit neighbourhoods"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0908.1489M"
    }
  }
}