{
  "id": "math/0202004",
  "version": "v1",
  "published": "2002-02-01T00:23:51.000Z",
  "updated": "2002-02-01T00:23:51.000Z",
  "title": "Polytopal realizations of generalized associahedra",
  "authors": [
    "Frederic Chapoton",
    "Sergey Fomin",
    "Andrei Zelevinsky"
  ],
  "comment": "25 pages",
  "categories": [
    "math.CO",
    "math.QA",
    "math.RT"
  ],
  "abstract": "In hep-th/0111053, a complete simplicial fan was associated to an arbitrary finite root system. It was conjectured that this fan is the normal fan of a simple convex polytope (a generalized associahedron of the corresponding type). Here we prove this conjecture by explicitly exhibiting a family of such polytopal realizations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-02-01T00:23:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E15"
    ],
    "keywords": [
      "polytopal realizations",
      "generalized associahedron",
      "arbitrary finite root system",
      "complete simplicial fan",
      "simple convex polytope"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......2004C"
    }
  }
}