{
  "id": "0901.1937",
  "version": "v2",
  "published": "2009-01-14T06:50:19.000Z",
  "updated": "2010-05-16T02:55:41.000Z",
  "title": "Integral bases of cluster algebras and representations of tame quivers",
  "authors": [
    "Ming Ding",
    "Jie Xiao",
    "Fan Xu"
  ],
  "comment": "28 pages, an improvement of arXiv:0811.3676",
  "categories": [
    "math.RT",
    "math.RA"
  ],
  "abstract": "In \\cite{CK2005} and \\cite{SZ}, the authors constructed the bases of cluster algebras of finite types and of type $\\widetilde{A}_{1,1}$, respectively. In this paper, we will deduce $\\mathbb{Z}$-bases for cluster algebras of affine types.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-05-16T02:55:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14M99",
      "16G20",
      "16G99",
      "17B35"
    ],
    "keywords": [
      "cluster algebras",
      "tame quivers",
      "integral bases",
      "representations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0901.1937D"
    }
  }
}