{
  "id": "1109.5996",
  "version": "v2",
  "published": "2011-09-27T19:29:40.000Z",
  "updated": "2012-10-15T21:32:44.000Z",
  "title": "A Study of the representations supported by the orbit closure of the determinant",
  "authors": [
    "Shrawan Kumar"
  ],
  "comment": "23 pages",
  "categories": [
    "math.RT",
    "math.AG"
  ],
  "abstract": "We show the existence of a large family of representations supported by the orbit closure of the determinant. However, the validity of our result is based on the validity of the celebrated `Latin Square Conjecture' due to Alon-Tarsi or more precisely on the validity of an equivalent `column Latin Square Conjecture' due to Huang-Rota.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-10-15T21:32:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14L30",
      "14L24",
      "14R20",
      "20G05",
      "22E46",
      "68W30"
    ],
    "keywords": [
      "orbit closure",
      "representations",
      "determinant",
      "column latin square conjecture",
      "alon-tarsi"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1109.5996K"
    }
  }
}