{
  "id": "math/0409561",
  "version": "v3",
  "published": "2004-09-28T20:17:34.000Z",
  "updated": "2007-03-16T14:05:57.000Z",
  "title": "Invariant Differential Operators and FCR factors of Enveloping algebras",
  "authors": [
    "Ian M. Musson",
    "Jeb F. Willenbring"
  ],
  "comment": "15 pages, updated version",
  "categories": [
    "math.RT"
  ],
  "abstract": "If $\\fg$ is a semisimple Lie algebra, we describe the prime factors of $\\mcU(\\fg)$ that have enough finite dimensional modules. The proof depends on some combinatorial facts about the Weyl group which may be of independent interest. We also determine, which finite dimensional $\\mcU(\\fg)$-modules are modules over a given prime factor. As an application we study finite dimensional modules over some rings of invariant differential operators arising from Howe duality.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2007-03-16T14:05:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "invariant differential operators",
      "fcr factors",
      "enveloping algebras",
      "prime factor",
      "study finite dimensional modules"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......9561M"
    }
  }
}