{
  "id": "1911.12042",
  "version": "v1",
  "published": "2019-11-27T09:30:58.000Z",
  "updated": "2019-11-27T09:30:58.000Z",
  "title": "Combinatorial model for m-cluster categories in type E",
  "authors": [
    "Bing Duan",
    "Lisa Lamberti",
    "Jian-Rong Li"
  ],
  "categories": [
    "math.CO",
    "math.RT"
  ],
  "abstract": "We revisit the geometric description of cluster categories in type E in terms of colored diagonals in a polygon and generalize it to the case of m-cluster categories. As an application, we relate colored diagonals in a polygon to semi-standard Young tableaux, in type E_6,E_7,E_8. This provides a new compatibility description of semi--standard Young tableaux in Grassmannian cluster algebras in type E_6, E_8 and in a sub-cluster algebra of type E_7.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-11-27T09:30:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "m-cluster categories",
      "combinatorial model",
      "semi-standard young tableaux",
      "grassmannian cluster algebras",
      "sub-cluster algebra"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}