{
  "id": "0902.3047",
  "version": "v2",
  "published": "2009-02-18T05:01:02.000Z",
  "updated": "2013-01-29T10:00:50.000Z",
  "title": "Repetitive cluster-tilted algebras",
  "authors": [
    "Shunhua Zhang",
    "Yuehui Zhang"
  ],
  "comment": "10 pages. arXiv admin note: text overlap with arXiv:0808.2352 by other authors",
  "journal": "Acta Mathematica Scientia, 32B(4)(2012), 1449-1454",
  "categories": [
    "math.RT",
    "math.RA"
  ],
  "abstract": "Let $H$ be a finite dimensional hereditary algebra over an algebraically closed field $k$ and $\\mathscr{C}_{F^m}$ be the repetitive cluster category of $H$ with $m\\geq 1$. We investigate the properties of cluster tilting objects in $\\mathscr{C}_{F^m}$ and the structure of repetitive cluster-tilted algebras. Moreover, we generalized Theorem 4.2 in \\cite{bmrrt} (Buan A, Marsh R, Reiten I. Cluster-tilted algebra. Trans. Amer. Math. Soc., 359(1)(2007), 323-332.) to the situation of $\\mathscr{C}_{F^m}$, and prove that the tilting graph $\\mathscr{K}_{\\mathscr{C}_{F^m}}$ of $\\mathscr{C}_{F^m}$ is connected.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-01-29T10:00:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16G20",
      "16G70"
    ],
    "keywords": [
      "repetitive cluster-tilted algebras",
      "finite dimensional hereditary algebra",
      "cluster tilting objects",
      "repetitive cluster category",
      "algebraically closed field"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0902.3047Z"
    }
  }
}