{
  "id": "1710.09765",
  "version": "v1",
  "published": "2017-10-26T15:41:47.000Z",
  "updated": "2017-10-26T15:41:47.000Z",
  "title": "Gale-Robinson quivers: from representations to combinatorial formulas",
  "authors": [
    "Max Glick",
    "Jerzy Weyman"
  ],
  "comment": "27 pages, 6 figures",
  "categories": [
    "math.CO",
    "math.RT"
  ],
  "abstract": "We investigate a family of representations of Gale-Robinson quivers that are geared towards providing concrete information about the corresponding cluster algebras. In this way, we provide a representation theoretic explanation for known combinatorial formulas for the Gale-Robinson sequence and also obtain similar formulas for several other cluster variables.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-10-26T15:41:47.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "combinatorial formulas",
      "gale-robinson quivers",
      "representation theoretic explanation",
      "cluster variables",
      "concrete information"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}