{
  "id": "1005.4364",
  "version": "v1",
  "published": "2010-05-24T15:59:32.000Z",
  "updated": "2010-05-24T15:59:32.000Z",
  "title": "A characterization of torsion theories in the cluster category of Dynkin type A_{\\infty}",
  "authors": [
    "Puiman Ng"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "Let D be the cluster category of Dynkin type A_{\\infty}. This paper provides a bijection between torsion theories in D and certain configurations of arcs connecting non-neighbouring integers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-05-24T15:59:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16E45",
      "16G20",
      "16G70"
    ],
    "keywords": [
      "torsion theories",
      "cluster category",
      "dynkin type",
      "characterization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1005.4364N"
    }
  }
}