{
  "id": "math/0507584",
  "version": "v2",
  "published": "2005-07-28T10:32:30.000Z",
  "updated": "2006-04-12T03:06:13.000Z",
  "title": "The restricted Kirillov-Reshetikhin modules for the current and twisted current algebras",
  "authors": [
    "Vyjayanthi Chari",
    "Adriano Moura"
  ],
  "comment": "23 pages. Minor corrections. Version to appear in Comm. Math. Phys",
  "journal": "Commun.Math.Phys.266:431-454,2006",
  "doi": "10.1007/s00220-006-0032-2",
  "categories": [
    "math.RT",
    "math-ph",
    "math.MP",
    "math.QA"
  ],
  "abstract": "We define a family of graded restricted modules for the polynomial current algebra associated to a simple Lie algebra. We study the graded character of these modules and show that they are the same as the graded characters of certain Demazure modules. In particular, we see that the specialized characters are the same as those of the Kirillov Reshetikhin modules for quantum affine algebras.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-04-12T03:06:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B10",
      "17B70"
    ],
    "keywords": [
      "twisted current algebras",
      "restricted kirillov-reshetikhin modules",
      "quantum affine algebras",
      "kirillov reshetikhin modules",
      "simple lie algebra"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer",
      "journal": "Communications in Mathematical Physics",
      "year": 2006,
      "month": "Sep",
      "volume": 266,
      "number": 2,
      "pages": 431
    },
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 695579,
      "adsabs": "2006CMaPh.266..431C"
    }
  }
}