{
  "id": "1304.7203",
  "version": "v2",
  "published": "2013-04-26T15:34:10.000Z",
  "updated": "2014-05-08T15:29:58.000Z",
  "title": "On an approach for computing the generating functions of the characters of simple Lie algebras",
  "authors": [
    "J. Fernández Núñez",
    "W. García Fuertes",
    "A. M. Perelomov"
  ],
  "journal": "J. Phys. A: Math. Theor. 47 (2014) 145202",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We describe a general approach to obtain the generating functions of the characters of simple Lie algebras which is based on the theory of the quantum trigonometric Calogero-Sutherland model. We show how the method works in practice by means of a few examples involving some low rank classical algebras.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-05-08T15:29:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B10",
      "17B80",
      "81R12"
    ],
    "keywords": [
      "simple lie algebras",
      "generating functions",
      "characters",
      "quantum trigonometric calogero-sutherland model",
      "low rank classical algebras"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1088/1751-8113/47/14/145202",
      "journal": "Journal of Physics A Mathematical General",
      "year": 2014,
      "month": "Apr",
      "volume": 47,
      "number": 14,
      "pages": 145202
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014JPhA...47n5202F"
    }
  }
}