{
  "id": "1001.4765",
  "version": "v1",
  "published": "2010-01-26T18:28:19.000Z",
  "updated": "2010-01-26T18:28:19.000Z",
  "title": "Perverse equivalences, BB-tilting, mutations and applications",
  "authors": [
    "Sefi Ladkani"
  ],
  "comment": "26 pages",
  "categories": [
    "math.RT",
    "math.RA"
  ],
  "abstract": "We relate the notions of BB-tilting and perverse derived equivalence at a vertex. Based on these notions, we define mutations of algebras, leading to derived equivalent ones. We present applications to endomorphism algebras of cluster-tilting objects in 2-Calabi-Yau categories and to algebras of global dimension at most 2.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-01-26T18:28:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16E35",
      "18E30",
      "16S50",
      "16G20",
      "16E20"
    ],
    "keywords": [
      "perverse equivalences",
      "applications",
      "bb-tilting",
      "perverse derived equivalence",
      "endomorphism algebras"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1001.4765L"
    }
  }
}