{
  "id": "1001.4365",
  "version": "v2",
  "published": "2010-01-25T10:11:10.000Z",
  "updated": "2010-01-30T10:30:36.000Z",
  "title": "Notes on the cluster multiplication formulas for 2-Calabi-Yau categories",
  "authors": [
    "Ming Ding",
    "Fan Xu"
  ],
  "comment": "8 pages",
  "categories": [
    "math.RT",
    "math.RA"
  ],
  "abstract": "Y. Palu has generalized the cluster multiplication formulas to 2-Calabi-Yau categories with cluster tilting objects (\\cite{Palu2}). The aim of this note is to construct a variant of Y. Palu's formula and deduce a new version of the cluster multiplication formula (\\cite{XiaoXu}) for acyclic quivers in the context of cluster categories.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-01-30T10:30:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "18E30",
      "16G20"
    ],
    "keywords": [
      "cluster multiplication formula",
      "cluster tilting objects",
      "acyclic quivers",
      "cluster categories",
      "palus formula"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1001.4365D"
    }
  }
}