{
  "id": "1005.0276",
  "version": "v1",
  "published": "2010-05-03T12:45:20.000Z",
  "updated": "2010-05-03T12:45:20.000Z",
  "title": "Three kinds of mutation",
  "authors": [
    "Aslak Bakke Buan",
    "Idun Reiten",
    "Hugh Thomas"
  ],
  "comment": "19 pages",
  "categories": [
    "math.RT",
    "math.RA"
  ],
  "abstract": "For a finite dimensional hereditary algebra, we consider: exceptional sequences in the category of finite dimensional modules, silting objects in the bounded derived category, and m-cluster tilting objects in the m-cluster category. There are mutation operations on both the set of m-cluster tilting objects and the set of exceptional sequences. It is also possible to define a mutation operation for silting objects. We compare these three different notions of mutation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-05-03T12:45:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16G20",
      "16E35"
    ],
    "keywords": [
      "m-cluster tilting objects",
      "finite dimensional hereditary algebra",
      "mutation operation",
      "exceptional sequences",
      "finite dimensional modules"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1005.0276B"
    }
  }
}