{
  "id": "2005.05047",
  "version": "v1",
  "published": "2020-05-08T14:46:49.000Z",
  "updated": "2020-05-08T14:46:49.000Z",
  "title": "Repetitive cluster categories of type Dn",
  "authors": [
    "Viviana Gubitosi"
  ],
  "categories": [
    "math.RT",
    "math.RA"
  ],
  "abstract": "In this paper, we show that the repetitive cluster category of type $D_n$, defined as the orbit category $\\mathcal{D}^b(\\mathrm{mod}K D_n)/(\\tau^{-1}[1])^p$, is equivalent to a category defined on a subset of tagged edges in a regular punctured polygon. This generalizes the construction of Schiffler, \\cite{S}, which we recover when $p=1$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-05-08T14:46:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "repetitive cluster category",
      "type dn",
      "orbit category",
      "regular punctured polygon",
      "tagged edges"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}