{
  "id": "0812.1475",
  "version": "v1",
  "published": "2008-12-08T16:10:27.000Z",
  "updated": "2008-12-08T16:10:27.000Z",
  "title": "The cluster complex of an hereditary artin algebra",
  "authors": [
    "Andrew Hubery"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "We show that the cluster complex of an arbitrary hereditary artin algebra has the structure of an abstract simplicial polytope. In particular, the cluster-tilting objects form one equivalence class under mutation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-12-08T16:10:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16G20",
      "55U10"
    ],
    "keywords": [
      "cluster complex",
      "arbitrary hereditary artin algebra",
      "abstract simplicial polytope",
      "cluster-tilting objects form",
      "equivalence class"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0812.1475H"
    }
  }
}