{
  "id": "1709.03227",
  "version": "v1",
  "published": "2017-09-11T03:20:51.000Z",
  "updated": "2017-09-11T03:20:51.000Z",
  "title": "The bounded derived category of a poset",
  "authors": [
    "Kosmas Diveris",
    "Marju Purin",
    "Peter Webb"
  ],
  "categories": [
    "math.RT",
    "math.CO"
  ],
  "abstract": "We introduce a new combinatorial condition on a subinterval of a poset P (a clamped subinterval) that allows us to relate the Auslander-Reiten quiver of the bounded derived category of P to that of the subinterval. Applications include the determination of when a poset is fractionally Calabi-Yau and the computation of the Auslander-Reiten quivers of both the bounded derived category and of the module category.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-09-11T03:20:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16G70",
      "16G20",
      "18E30"
    ],
    "keywords": [
      "bounded derived category",
      "auslander-reiten quiver",
      "module category",
      "combinatorial condition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}