{
  "id": "1801.05154",
  "version": "v1",
  "published": "2018-01-16T08:47:07.000Z",
  "updated": "2018-01-16T08:47:07.000Z",
  "title": "On derived equivalences for categories of generalized intervals of a finite poset",
  "authors": [
    "Frederic Chapoton",
    "Sefi Ladkani",
    "Baptiste Rognerud"
  ],
  "categories": [
    "math.CO",
    "math.RT"
  ],
  "abstract": "We study two constructions related to the intervals of finite posets. The first one is a poset. The second one is more complicated. Loosely speaking it can be seen as a poset with some extra zero-relations. As main result, we show that these two constructions are equivalent at the level of derived categories.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-01-16T08:47:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finite poset",
      "generalized intervals",
      "derived equivalences",
      "constructions",
      "extra zero-relations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}