{
  "id": "2010.14302",
  "version": "v1",
  "published": "2020-10-27T14:06:29.000Z",
  "updated": "2020-10-27T14:06:29.000Z",
  "title": "From frieze patterns to cluster categories",
  "authors": [
    "Matthew Pressland"
  ],
  "comment": "23 pages. Notes for lecture series at LMS Autumn Algebra School, October 2020",
  "categories": [
    "math.RT",
    "math.CO"
  ],
  "abstract": "Motivated by Conway and Coxeter's combinatorial results concerning frieze patterns, we sketch an introduction to the theory of cluster algebras and cluster categories for acyclic quivers. The goal is to show how these more abstract theories provide a conceptual explanation for phenomena concerning friezes, principally integrality and periodicity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-10-27T14:06:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E10",
      "13F60",
      "16G20",
      "18E30"
    ],
    "keywords": [
      "cluster categories",
      "coxeters combinatorial results concerning frieze",
      "combinatorial results concerning frieze patterns",
      "phenomena concerning friezes",
      "acyclic quivers"
    ],
    "tags": [
      "lecture notes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}