{
  "id": "math/0601462",
  "version": "v2",
  "published": "2006-01-19T06:32:35.000Z",
  "updated": "2006-01-20T14:37:12.000Z",
  "title": "Jacquet modules of principal series generated by the trivial $K$-type",
  "authors": [
    "Noriyuki Abe"
  ],
  "comment": "18 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "We propose a new approach for the study of the Jacquet module of a Harish-Chandra module of a real semisimple Lie group. Using this method, we investigate the structure of the Jacquet module of principal series representation generated by the trivial $K$-type.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-01-20T14:37:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E47"
    ],
    "keywords": [
      "jacquet module",
      "real semisimple lie group",
      "principal series representation",
      "harish-chandra module"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......1462A"
    }
  }
}