{
  "id": "0910.4885",
  "version": "v1",
  "published": "2009-10-26T14:08:17.000Z",
  "updated": "2009-10-26T14:08:17.000Z",
  "title": "Low-dimensional complex characters of the symplectic and orthogonal groups",
  "authors": [
    "Hung Ngoc Nguyen"
  ],
  "comment": "44 pages. Comm. Algebra, to appear",
  "categories": [
    "math.RT",
    "math.GR"
  ],
  "abstract": "We classify the irreducible complex characters of the symplectic groups $Sp_{2n}(q)$ and the orthogonal groups $Spin_{2n}^\\pm(q)$, $Spin_{2n+1}(q)$ of degrees up to the bound D, where $D=(q^n-1)q^{4n-10}/2$ for symplectic groups, $D=q^{4n-8}$ for orthogonal groups in odd dimension, and $D=q^{4n-10}$ for orthogonal groups in even dimension.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-10-26T14:08:17.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "orthogonal groups",
      "low-dimensional complex characters",
      "symplectic groups",
      "irreducible complex characters"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 44,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0910.4885N"
    }
  }
}