{
  "id": "2108.09279",
  "version": "v1",
  "published": "2021-08-20T17:15:35.000Z",
  "updated": "2021-08-20T17:15:35.000Z",
  "title": "Cluster algebras and their bases",
  "authors": [
    "Fan Qin"
  ],
  "comment": "32 pages",
  "categories": [
    "math.RT",
    "math.QA",
    "math.RA"
  ],
  "abstract": "We give a brief introduction to (upper) cluster algebras and their quantization using examples. Then we present several important families of bases for these algebras using topological models. We also discuss tropical properties of these bases and their relation to representation theory. This article is an extensive version of the talk given at the 19th International Conference on Representations of Algebras (ICRA 2020).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-08-20T17:15:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "13F60"
    ],
    "keywords": [
      "cluster algebras",
      "19th international conference",
      "important families",
      "brief introduction",
      "representation theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}