{
  "id": "1405.2758",
  "version": "v1",
  "published": "2014-05-12T13:53:32.000Z",
  "updated": "2014-05-12T13:53:32.000Z",
  "title": "On the generating function of weight multiplicities for the representations of the Lie algebra $C_2$",
  "authors": [
    "José Fernández Nuñez",
    "Wifredo Garc'\\ia Fuertes",
    "Askold M. Perelomov"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:1304.7203",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We use the generating function of the characters of $C_2$ to obtain a generating function for the multiplicities of the weights entering in the irreducible representations of that simple Lie algebra. From this generating function we derive some recurrence relations among the multiplicities and a simple graphical recipe to compute them.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-05-12T13:53:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "generating function",
      "weight multiplicities",
      "simple lie algebra",
      "recurrence relations",
      "simple graphical recipe"
    ],
    "publication": {
      "doi": "10.1063/1.4917054",
      "journal": "Journal of Mathematical Physics",
      "year": 2015,
      "month": "Apr",
      "volume": 56,
      "number": 4,
      "pages": "041702"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015JMP....56d1702F"
    }
  }
}