{
  "id": "0810.4757",
  "version": "v1",
  "published": "2008-10-27T09:29:18.000Z",
  "updated": "2008-10-27T09:29:18.000Z",
  "title": "Almost $\\cal D$-split sequences and derived equivalences",
  "authors": [
    "Wei Hu",
    "Changchang Xi"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "In this paper, we introduce almost $\\cal D$-split sequences and establish an elementary but somewhat surprising connection between derived equivalences and Auslander-Reiten sequences via BB-tilting modules. In particular, we obtain derived equivalences from Auslander-Reiten sequences (or $n$-almost split sequences), and Auslander-Reiten triangles.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-10-27T09:29:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16G70",
      "18E30",
      "16G10",
      "18G20"
    ],
    "keywords": [
      "split sequences",
      "derived equivalences",
      "auslander-reiten sequences",
      "auslander-reiten triangles"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0810.4757H"
    }
  }
}