{
  "id": "math/0509198",
  "version": "v2",
  "published": "2005-09-08T19:58:42.000Z",
  "updated": "2006-02-16T22:15:30.000Z",
  "title": "Cluster-tilted algebras of finite representation type",
  "authors": [
    "Aslak Bakke Buan",
    "Robert J. Marsh",
    "Idun Reiten"
  ],
  "comment": "Second version with considerably simplified proof of main result. 17 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "We investigate the cluster-tilted algebras of finite representation type over an algebraically closed field. We give an explicit description of the relations for the quivers for finite representation type. As a consequence we show that a (basic) cluster-tilted algebra of finite type is uniquely determined by its quiver. Also some necessary conditions on the shapes of quivers of cluster-tilted algebras of finite representation type are obtained along the way.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-02-16T22:15:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16G20",
      "16G70"
    ],
    "keywords": [
      "finite representation type",
      "cluster-tilted algebra",
      "finite type",
      "necessary conditions",
      "explicit description"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......9198B"
    }
  }
}