{
  "id": "math/0503020",
  "version": "v3",
  "published": "2005-03-01T18:16:54.000Z",
  "updated": "2005-03-03T19:14:19.000Z",
  "title": "Characters of fundamental representations of quantum affine algebras",
  "authors": [
    "Vyjayanthi Chari",
    "Adriano Moura"
  ],
  "comment": "18 pages. References added",
  "categories": [
    "math.RT",
    "math.QA"
  ],
  "abstract": "We give closed formulae for the q-characters of the fundamental representations of the quantum loop algebra of a classical Lie algebra in terms of a family of partitions satisfying some simple properties. We also give the multiplicities of the eigenvalues of the imaginary subalgebra in terms of these partitions.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2005-03-03T19:14:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20G42",
      "17B10"
    ],
    "keywords": [
      "quantum affine algebras",
      "fundamental representations",
      "quantum loop algebra",
      "partitions",
      "imaginary subalgebra"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......3020C"
    }
  }
}