{
  "id": "1604.02764",
  "version": "v1",
  "published": "2016-04-11T00:33:34.000Z",
  "updated": "2016-04-11T00:33:34.000Z",
  "title": "On a cluster category of type $D_{\\infty}$",
  "authors": [
    "Yichao Yang"
  ],
  "comment": "21 pages, 5 figures. arXiv admin note: text overlap with arXiv:1505.06062 by other authors",
  "categories": [
    "math.RT"
  ],
  "abstract": "We study the canonical orbit category of the bounded derived category of finite dimensional representations of the quiver of type $D_{\\infty}$. We prove that this orbit category is a cluster category, that is, its cluster-tilting subcategories form a cluster structure as defined in [\\ref{BIRS}].",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-04-11T00:33:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "13F60",
      "16G20",
      "16G70",
      "18E30"
    ],
    "keywords": [
      "cluster category",
      "finite dimensional representations",
      "canonical orbit category",
      "cluster-tilting subcategories form",
      "cluster structure"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160402764Y"
    }
  }
}