{
  "id": "0908.1091",
  "version": "v1",
  "published": "2009-08-07T19:30:12.000Z",
  "updated": "2009-08-07T19:30:12.000Z",
  "title": "On dominance and minuscule Weyl group elements",
  "authors": [
    "Qëndrim R. Gashi",
    "Travis Schedler"
  ],
  "comment": "12 pages",
  "categories": [
    "math.RT",
    "math.CO"
  ],
  "abstract": "Fix a Dynkin diagram and let p be a coweight. When does there exist an element w of the corresponding Weyl group such that w is p-minuscule and w(p) is dominant? We answer this question for general Coxeter groups. We express and prove these results using a variant of Mozes's game of numbers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-08-07T19:30:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "minuscule weyl group elements",
      "general coxeter groups",
      "dynkin diagram",
      "corresponding weyl group",
      "mozess game"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0908.1091G"
    }
  }
}