{
  "id": "0810.0411",
  "version": "v1",
  "published": "2008-10-02T13:21:16.000Z",
  "updated": "2008-10-02T13:21:16.000Z",
  "title": "On the relation between cluster and classical tilting",
  "authors": [
    "Thorsten Holm",
    "Peter Jorgensen"
  ],
  "comment": "20 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "Let D be a triangulated category with a cluster tilting subcategory U. The quotient category D/U is abelian; suppose that it has finite global dimension. We show that projection from D to D/U sends cluster tilting subcategories of D to support tilting subcategories of D/U, and that, in turn, support tilting subcategories of D/U can be lifted uniquely to maximal 1-orthogonal subcategories of D.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-10-02T13:21:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16G70",
      "18E10",
      "18E30",
      "18G99"
    ],
    "keywords": [
      "cluster tilting subcategory",
      "classical tilting",
      "support tilting subcategories",
      "d/u sends cluster tilting subcategories",
      "finite global dimension"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0810.0411H"
    }
  }
}