{
  "id": "1806.00635",
  "version": "v1",
  "published": "2018-06-02T13:35:24.000Z",
  "updated": "2018-06-02T13:35:24.000Z",
  "title": "A remark on a theorem by C. Amiot",
  "authors": [
    "Bernhard Keller"
  ],
  "comment": "3 pages",
  "categories": [
    "math.RT",
    "math.AC",
    "math.CT"
  ],
  "abstract": "C. Amiot has classified the connected triangulated k-categories with finitely many isoclasses of indecomposables satisfying suitable hypotheses. We remark that her proof shows that these triangulated categories are determined by their underlying k-linear categories. We observe that if the connectedness assumption is dropped, the triangulated categories are still determined by their underlying k-categories together with the action of the suspension functor on the set of isoclasses of indecomposables.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-06-02T13:35:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "18E30"
    ],
    "keywords": [
      "triangulated categories",
      "isoclasses",
      "indecomposables satisfying suitable hypotheses",
      "k-linear categories",
      "connectedness assumption"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 3,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}