{
  "id": "math/0507113",
  "version": "v1",
  "published": "2005-07-06T07:34:50.000Z",
  "updated": "2005-07-06T07:34:50.000Z",
  "title": "Cluster algebras associated with extended Dynkin quivers",
  "authors": [
    "Aslak Bakke Buan",
    "Idun Reiten"
  ],
  "comment": "6 pages",
  "categories": [
    "math.RT",
    "math.CO"
  ],
  "abstract": "We show that the mutation class of a finite quiver without oriented cycles is finite if and only is the quiver is either Dynkin, extended Dynkin or has at most two vertices.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-07-06T07:34:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16G20"
    ],
    "keywords": [
      "extended dynkin quivers",
      "cluster algebras",
      "mutation class",
      "finite quiver"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......7113B"
    }
  }
}