{
  "id": "math/0206225",
  "version": "v1",
  "published": "2002-06-21T08:51:46.000Z",
  "updated": "2002-06-21T08:51:46.000Z",
  "title": "Rectangular Schur functions and the basic representation of affine Lie algebras",
  "authors": [
    "Hiroshi Mizukawa",
    "Hiro-Fumi Yamada"
  ],
  "comment": "16 pages",
  "categories": [
    "math.CO",
    "math.RT"
  ],
  "abstract": "An expression is given for the plethysm $p_{2}\\circ S_{\\square}$, where $p_{2}$ is the power sum of degree two and $S_{\\square}$ is the Schur function indexed by a rectangular partition. The formula can be well understood from the viewpoint of the basic representation of the affine Lie algebra of type $A_{2}^{(2)}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-06-21T08:51:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E05",
      "17B65"
    ],
    "keywords": [
      "affine lie algebra",
      "rectangular schur functions",
      "basic representation",
      "power sum",
      "rectangular partition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......6225M"
    }
  }
}