{
  "id": "1506.07815",
  "version": "v1",
  "published": "2015-06-25T17:03:14.000Z",
  "updated": "2015-06-25T17:03:14.000Z",
  "title": "Generating functions and multiplicity formulas: the case of rank two simple Lie algebras",
  "authors": [
    "Jose Fernandez Nunez",
    "Wifredo Garcia Fuertes",
    "Askold M. Perelomov"
  ],
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "A procedure is described that makes use of the generating function of characters to obtain a new generating function $H$ giving the multiplicities of each weight in all the representations of a simple Lie algebra. The way to extract from $H$ explicit multiplicity formulas for particular weights is explained and the results corresponding to rank two simple Lie algebras shown.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-06-25T17:03:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "simple lie algebra",
      "generating function",
      "explicit multiplicity formulas",
      "representations",
      "characters"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}