{
  "id": "1705.03711",
  "version": "v1",
  "published": "2017-05-10T11:59:27.000Z",
  "updated": "2017-05-10T11:59:27.000Z",
  "title": "Some results on generating functions for characters and weight multiplicities of the Lie algebra $A_3$",
  "authors": [
    "José Fernández Núñez",
    "Wifredo García Fuertes",
    "Askold M. Perelomov"
  ],
  "comment": "13 pages, no figures",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "A method based on the quantum Calogero-Sutherland model is used to obtain generating functions for characters and multiplicities of $A_3$. Some comments on other rank three algebras are offered.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-05-10T11:59:27.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "generating functions",
      "weight multiplicities",
      "lie algebra",
      "characters"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}