{
  "id": "1205.0628",
  "version": "v1",
  "published": "2012-05-03T06:53:45.000Z",
  "updated": "2012-05-03T06:53:45.000Z",
  "title": "Multiplicity free spaces with a one dimensional quotient",
  "authors": [
    "Hubert Rubenthaler"
  ],
  "comment": "24 pages",
  "journal": "Journal of Lie Theory 23, 2 (2013) 433-458",
  "categories": [
    "math.RT"
  ],
  "abstract": "The multiplicity free spaces with a one dimensional quotient were introduced by Thierry Levasseur in [11]. Recently, the author has shown that the algebra of differential operators on such spaces which are invariant under the semi-simple part of the group is a Smith algebra ([17]). We give here the classification of these spaces which are indecomposable, up to geometric equivalence. We also investigate whether or not these spaces are regular or of parabolic type as a prehomogeneous vector space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-05-03T06:53:45.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "multiplicity free spaces",
      "dimensional quotient",
      "smith algebra",
      "thierry levasseur",
      "prehomogeneous vector space"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1205.0628R"
    }
  }
}