{
  "id": "2309.08539",
  "version": "v1",
  "published": "2023-09-15T17:03:30.000Z",
  "updated": "2023-09-15T17:03:30.000Z",
  "title": "On the size of Bruhat intervals",
  "authors": [
    "Federico Castillo",
    "Damian de la Fuente",
    "Nicolas Libedinsky",
    "David Plaza"
  ],
  "comment": "28 pages",
  "categories": [
    "math.CO",
    "math.RT"
  ],
  "abstract": "For affine Weyl groups and elements associated to dominant coweights, we present a convex geometry formula for the size of the corresponding lower Bruhat intervals. Extensive computer calculations for these groups have led us to believe that a similar formula exists for all lower Bruhat intervals.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-09-15T17:03:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "affine weyl groups",
      "corresponding lower bruhat intervals",
      "convex geometry formula",
      "dominant coweights",
      "similar formula"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}