{
  "id": "0804.2331",
  "version": "v1",
  "published": "2008-04-15T08:58:41.000Z",
  "updated": "2008-04-15T08:58:41.000Z",
  "title": "From Permutahedron to Associahedron",
  "authors": [
    "Thomas Brady",
    "Colum Watt"
  ],
  "comment": "14 pages",
  "categories": [
    "math.CO",
    "math.GR"
  ],
  "abstract": "For each finite real reflection group $W$, we identify a copy of the type-$W$ simplicial generalised associahedron inside the corresponding simplicial permutahedron. This defines a bijection between the facets of the generalised associahedron and the elements of the type $W$ non-crossing partition lattice which is more tractable than previous such bijections. We show that the simplicial fan determined by this associahedron coincides with the Cambrian fan for $W$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-04-15T08:58:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F55"
    ],
    "keywords": [
      "finite real reflection group",
      "simplicial generalised associahedron inside",
      "simplicial fan",
      "non-crossing partition lattice",
      "cambrian fan"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0804.2331B"
    }
  }
}