{
  "id": "0708.3839",
  "version": "v2",
  "published": "2007-08-28T19:31:26.000Z",
  "updated": "2008-08-14T23:03:28.000Z",
  "title": "Derived classification of gentle algebras with two cycles",
  "authors": [
    "Diana Avella-Alaminos"
  ],
  "comment": "41 pages Appendix added (after a manuscript by T. Holm, J. Schr\\\"oer, A. Zimmermann) To be published in \"Boletin De La Sociedad Matematica Mexicana\"",
  "categories": [
    "math.RT"
  ],
  "abstract": "We classify gentle algebras defined by quivers with two cycles under derived equivalence in a non degenerate case, by using some combinatorial invariants constructed from the quiver with relations defining these algebras. We also present a list of normal forms; any such algebra is derived equivalent to one of the algebras in the list.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-08-14T23:03:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16G20",
      "16E30",
      "18E30"
    ],
    "keywords": [
      "derived classification",
      "non degenerate case",
      "normal forms",
      "classify gentle algebras",
      "derived equivalence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 41,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0708.3839A"
    }
  }
}