{
  "id": "1004.4115",
  "version": "v1",
  "published": "2010-04-23T12:34:03.000Z",
  "updated": "2010-04-23T12:34:03.000Z",
  "title": "Mutating loops and 2-cycles in 2-CY triangulated categories",
  "authors": [
    "Marco Angel Bertani-Økland",
    "Steffen Oppermann"
  ],
  "categories": [
    "math.RT",
    "math.RA"
  ],
  "abstract": "We derive an algorithm for mutating quivers of 2-CY tilted algebras that have loops and 2-cycles, under certain specific conditions. Further, we give the classification of the 2-CY tilted algebras coming from standard algebraic 2-CY triangulated categories with a finite number of indecomposables. These form a class of algebras that satisfy the setup for our mutation algorithm.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-04-23T12:34:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16G20",
      "18E30",
      "16G70"
    ],
    "keywords": [
      "triangulated categories",
      "mutating loops",
      "tilted algebras",
      "standard algebraic",
      "mutation algorithm"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1004.4115B"
    }
  }
}