{
  "id": "1702.01221",
  "version": "v1",
  "published": "2017-02-04T01:41:31.000Z",
  "updated": "2017-02-04T01:41:31.000Z",
  "title": "A conjecture on $C$-matrices of cluster algebras",
  "authors": [
    "Peigen Cao",
    "Min Huang",
    "Fang Li"
  ],
  "comment": "6 pages",
  "categories": [
    "math.RA",
    "math.AC",
    "math.RT"
  ],
  "abstract": "In skew-symmetrizable case, we give a positive affirmation to a conjecture proposed by Sergey Fomin and Andrei Zelevinsky, which says each seed $\\Sigma_t$ is uniquely determined by its {\\bf C-matrix} in a cluster algebra $\\mathcal A(\\Sigma_{t_0})$ with principle coefficients at $t_0$. More discussion is given in the sign-skew-symmetric case so as to obtain a conclusion as weak version of the conjecture in this general case.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-02-04T01:41:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "13F60"
    ],
    "keywords": [
      "cluster algebra",
      "conjecture",
      "principle coefficients",
      "weak version",
      "sergey fomin"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}