{
  "id": "1101.2459",
  "version": "v1",
  "published": "2011-01-12T22:06:46.000Z",
  "updated": "2011-01-12T22:06:46.000Z",
  "title": "Cent U(n) and a construction of Lipsman-Wolf",
  "authors": [
    "Bertram Kostant"
  ],
  "comment": "14 pages in plain tex",
  "categories": [
    "math.RT"
  ],
  "abstract": "Let $G$ be a complex simply-connected semisimple Lie group and let $\\g= \\hbox{\\rm Lie}\\,G$. Let $\\g = \\n_- +\\hh + \\n$ be a triangular decomposition of $\\g$. The authors in [LW] introduce a very nice representation theory idea for the construction of certain elements in $\\hbox{\\rm cent}\\,U(n)$. A key lemma in [LW] is incorrect but the idea is in fact valid. In our paper here we modify the construction so as to yield the desired elements in $\\hbox{\\rm cent}\\,U(\\n)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-01-12T22:06:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22Exx"
    ],
    "keywords": [
      "construction",
      "complex simply-connected semisimple lie group",
      "lipsman-wolf",
      "nice representation theory idea",
      "fact valid"
    ],
    "note": {
      "typesetting": "Plain TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1101.2459K"
    }
  }
}