{
  "id": "2103.03828",
  "version": "v1",
  "published": "2021-03-05T17:41:46.000Z",
  "updated": "2021-03-05T17:41:46.000Z",
  "title": "Ricci curvature of Bruhat orders",
  "authors": [
    "Viola Siconolfi"
  ],
  "comment": "32 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "We study the Ricci curvature of the Hasse diagrams of the Bruhat order of finite irreducible Coxeter groups. For this purpose we compute the maximum degree of these graphs for types $B_n$ and $D_n$. The proof uses a new graph $\\Gamma(\\pi)$ defined for any element $\\pi$ in the corresponding group.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-03-05T17:41:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bruhat order",
      "ricci curvature",
      "finite irreducible coxeter groups",
      "maximum degree",
      "hasse diagrams"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}