{
  "id": "1103.1721",
  "version": "v2",
  "published": "2011-03-09T07:31:11.000Z",
  "updated": "2014-02-13T12:24:47.000Z",
  "title": "Invariant differential operators on a class of multiplicity free spaces",
  "authors": [
    "Hubert Rubenthaler"
  ],
  "comment": "31 pages",
  "categories": [
    "math.RT",
    "math.RA"
  ],
  "abstract": "If $(G,V)$ is a multiplity free space with a one dimensional quotient we give generators and relations for the non-commutative algebra $D(V)^{G'}$ of invariant differential operators under the semi-simple part $G'$ of the reductive group $G$. More precisely we show that $D(V)^{G'}$ is the quotient of a Smith algebra by a completely described two-sided ideal.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-02-13T12:24:47.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "invariant differential operators",
      "multiplicity free spaces",
      "multiplity free space",
      "smith algebra",
      "dimensional quotient"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1103.1721R"
    }
  }
}