{
  "id": "math/0301295",
  "version": "v2",
  "published": "2003-01-25T11:06:22.000Z",
  "updated": "2004-07-02T14:26:41.000Z",
  "title": "D-modules and characters of semi-simple Lie groups",
  "authors": [
    "Yves Laurent",
    "Esther Galina"
  ],
  "categories": [
    "math.GR",
    "math.AP"
  ],
  "abstract": "A celebrated theorem of Harich-Chandra asserts that all invariant eigendistributions on a semisimple Lie group are locally integrable functions. We show that this result is a consequence of an algebraic property of a holonomic D-module defined by Kashiwara and Hotta.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2004-07-02T14:26:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35A27",
      "35D10",
      "17B15"
    ],
    "keywords": [
      "semi-simple lie groups",
      "characters",
      "semisimple lie group",
      "harich-chandra asserts",
      "invariant eigendistributions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......1295L"
    }
  }
}