{
  "id": "1509.07387",
  "version": "v1",
  "published": "2015-09-24T14:33:42.000Z",
  "updated": "2015-09-24T14:33:42.000Z",
  "title": "Classifying tilting complexes over preprojective algebras of Dynkin type",
  "authors": [
    "Takuma Aihara",
    "Yuya Mizuno"
  ],
  "comment": "22 pages",
  "categories": [
    "math.RT",
    "math.RA"
  ],
  "abstract": "We study tilting complexes over preprojective algebras of Dynkin type. We classify all tilting complexes by giving a bijection between tilting complexes and the braid group of the corresponding folded graph. In particular, we determine the derived equivalence class of the algebra. For the results, we develop the theory of silting-discrete triangulated categories and give a criterion of silting-discreteness.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-09-24T14:33:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dynkin type",
      "classifying tilting complexes",
      "preprojective algebras",
      "braid group",
      "study tilting complexes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150907387A"
    }
  }
}