{
  "id": "1203.1237",
  "version": "v2",
  "published": "2012-03-06T16:09:42.000Z",
  "updated": "2012-10-01T08:41:22.000Z",
  "title": "Resolutions of tempered representations of reductive p-adic groups",
  "authors": [
    "Eric Opdam",
    "Maarten Solleveld"
  ],
  "comment": "The proof of Theorem 4.2 in the first version was incorrect. In the second version we repaired this and rewrote Section 4",
  "journal": "Journal of Functional Analysis 265 (2013), 108-134",
  "categories": [
    "math.RT"
  ],
  "abstract": "Let G be a reductive group over a non-archimedean local field and let S(G) be its Schwartz algebra. We compare Ext-groups of tempered G-representations in several module categories: smooth G-representations, algebraic S(G)-modules, bornological S(G)-modules and an exact category of S(G)-modules on LF-spaces which contains all admissible S(G)-modules. We simplify the proofs of known comparison theorems for these Ext-groups, due to Meyer and Schneider-Zink. Our method is based on the Bruhat-Tits building of G and on analytic properties of the Schneider-Stuhler resolutions.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-10-01T08:41:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22G25",
      "22E50"
    ],
    "keywords": [
      "reductive p-adic groups",
      "tempered representations",
      "non-archimedean local field",
      "comparison theorems",
      "analytic properties"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1203.1237O"
    }
  }
}