{
  "id": "1212.1846",
  "version": "v1",
  "published": "2012-12-09T01:39:30.000Z",
  "updated": "2012-12-09T01:39:30.000Z",
  "title": "C-vectors and dimension vectors for cluster-finite quivers",
  "authors": [
    "Alfredo Nájera Chávez"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "Let $(Q,W)$ be a quiver with a non degenerate potential. We give a new description of the \\textbf{c}-vectors of $Q$. We use it to show that, if $Q$ is mutation equivalent to a Dynkin quiver, then the set of positive $\\mathbf{c}$-vectors of the cluster algebra associated to $Q^{\\text{op}}$ coincides with the set of dimension vectors of the indecomposable modules over the Jacobian algebra of $(Q,W)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-12-09T01:39:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dimension vectors",
      "cluster-finite quivers",
      "non degenerate potential",
      "jacobian algebra",
      "dynkin quiver"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1212.1846N"
    }
  }
}