{
  "id": "1010.0351",
  "version": "v2",
  "published": "2010-10-02T17:21:31.000Z",
  "updated": "2011-08-15T09:57:56.000Z",
  "title": "From triangulated categories to module categories via localisation",
  "authors": [
    "Aslak Bakke Buan",
    "Robert J. Marsh"
  ],
  "comment": "New section describing relationship to work of Nakaoka on cotorsion pairs. To appear in Transactions of the American Mathematical Society. 18 pages; no separate figures",
  "doi": "10.1090/S0002-9947-2012-05631-5",
  "categories": [
    "math.RT",
    "math.CT"
  ],
  "abstract": "We show that the category of finite-dimensional modules over the endomorphism algebra of a rigid object in a Hom-finite triangulated category is equivalent to the Gabriel-Zisman localisation of the category with respect to a certain class of maps. This generalises the 2-Calabi-Yau tilting theorem of Keller-Reiten, in which the module category is obtained as a factor category, to the rigid case.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-08-15T09:57:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16G20",
      "18E30",
      "18E35",
      "13F60"
    ],
    "keywords": [
      "module category",
      "rigid object",
      "rigid case",
      "finite-dimensional modules",
      "endomorphism algebra"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AMS",
      "journal": "Trans. Amer. Math. Soc."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1010.0351B"
    }
  }
}