{
  "id": "2206.04778",
  "version": "v1",
  "published": "2022-06-09T21:59:09.000Z",
  "updated": "2022-06-09T21:59:09.000Z",
  "title": "Dominance Regions for Rank Two Cluster Algebras",
  "authors": [
    "Dylan Rupel",
    "Salvatore Stella"
  ],
  "comment": "14 pages, 3 figures",
  "categories": [
    "math.CO",
    "math.AC",
    "math.RT"
  ],
  "abstract": "We study the polygons defining the dominance order on $\\mathbf{g}$-vectors in cluster algebras of rank 2.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-06-09T21:59:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "13F60"
    ],
    "keywords": [
      "cluster algebras",
      "dominance regions",
      "dominance order"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}