{
  "id": "math/0502230",
  "version": "v1",
  "published": "2005-02-11T19:56:32.000Z",
  "updated": "2005-02-11T19:56:32.000Z",
  "title": "Generalization of Harish-Chandra's basic theorem for Riemannian symmetric spaces of non-compact type",
  "authors": [
    "Hiroshi Oda"
  ],
  "comment": "34 pages, AMS-LaTeX, txfonts.sty, mathrsfs.sty",
  "categories": [
    "math.RT",
    "math.GR"
  ],
  "abstract": "A basic exact sequence by Harish-Chandra related to the invariant differential operators on a Riemannian symmetric space G/K is generalized for each K-type in a certain class which we call `single-petaled'. The argument also includes a further generalization of Broer's generalization of the Chevalley restriction theorem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-02-11T19:56:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E46",
      "16S30"
    ],
    "keywords": [
      "harish-chandras basic theorem",
      "non-compact type",
      "generalization",
      "riemannian symmetric space g/k",
      "basic exact sequence"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......2230O"
    }
  }
}