{
  "id": "math/0012244",
  "version": "v1",
  "published": "2000-12-23T20:38:19.000Z",
  "updated": "2000-12-23T20:38:19.000Z",
  "title": "Graded multiplicities in the exterior algebra",
  "authors": [
    "Yuri Bazlov"
  ],
  "comment": "24 pages, to appear in Adv. Math",
  "journal": "Advances in Math. 158 (2001), no. 2, 129--153",
  "categories": [
    "math.RT",
    "math.CO"
  ],
  "abstract": "We know the multiplicity of the adjoint representation of a semisimple Lie algebra in its own exterior algebra, but how do its copies distribute themselves between the exterior powers? The answer (the graded multiplicity) is obtained with the aid of Macdonald polynomials.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-12-23T20:38:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B20",
      "33D52"
    ],
    "keywords": [
      "exterior algebra",
      "graded multiplicity",
      "semisimple lie algebra",
      "exterior powers",
      "macdonald polynomials"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier",
      "journal": "Adv. Math."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math.....12244B"
    }
  }
}