{
  "id": "1010.0640",
  "version": "v2",
  "published": "2010-10-04T16:49:46.000Z",
  "updated": "2011-06-02T07:32:24.000Z",
  "title": "Moeglin's theorem and Goldie rank polynomials in Cartan type A",
  "authors": [
    "Jonathan Brundan"
  ],
  "comment": "final version; minor changes and some additions to bibliography; 32 pages",
  "journal": "Compositio Math. 147 (2011), 1741-1771",
  "doi": "10.1112/S0010437X11005653",
  "categories": [
    "math.RT",
    "math.RA"
  ],
  "abstract": "We use the theory of finite W-algebras associated to nilpotent orbits in the Lie algebra g = gl_N(C) to give another proof of Moeglin's theorem about completely prime primitive ideals in the enveloping algebra U(g). We also make some new observations about Joseph's Goldie rank polynomials in Cartan type A.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-06-02T07:32:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B35"
    ],
    "keywords": [
      "cartan type",
      "moeglins theorem",
      "josephs goldie rank polynomials",
      "nilpotent orbits",
      "lie algebra"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1010.0640B"
    }
  }
}