{
  "id": "1112.3870",
  "version": "v1",
  "published": "2011-12-16T16:01:51.000Z",
  "updated": "2011-12-16T16:01:51.000Z",
  "title": "On one-point extensions of cluster-tilted algebras",
  "authors": [
    "Miki Oryu",
    "Ralf Schiffler"
  ],
  "comment": "17 pages",
  "categories": [
    "math.RT",
    "math.RA"
  ],
  "abstract": "We define an operation which associates to a pair (B,M) where B is a cluster-tilted algebra and M is a B-module which lies in a local slice of B, a new cluster-tilted algebra B'. In terms of the quivers, this operation corresponds to adding one vertex (and arrows).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-12-16T16:01:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16G70",
      "13F60"
    ],
    "keywords": [
      "cluster-tilted algebra",
      "one-point extensions",
      "local slice",
      "operation corresponds",
      "associates"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1112.3870O"
    }
  }
}