{
  "id": "1509.05511",
  "version": "v1",
  "published": "2015-09-18T05:54:47.000Z",
  "updated": "2015-09-18T05:54:47.000Z",
  "title": "Singularity categories of some 2-CY-tilted algebras",
  "authors": [
    "Ming Lu"
  ],
  "comment": "30 pages, many figures",
  "categories": [
    "math.RT"
  ],
  "abstract": "We define a class of 2-CY-tilted algebras, which are called (simple) polygon-tree algebras, as a generalization of cluster-tilted algebras of type D. Using a suitable process of mutations of quivers with potentials (which are also BB-mutations) inducing derived equivalences, and one-pointed (co)extensions which preserve singularity equivalences, we find a connected selfinjective Nakayama algebra singularity equivalent to each simple polygon-tree algebra. Furthermore, we also give a classification of this kind of algebras up to representation type.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-09-18T05:54:47.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "singularity categories",
      "selfinjective nakayama algebra singularity equivalent",
      "preserve singularity equivalences",
      "simple polygon-tree algebra",
      "connected selfinjective nakayama algebra singularity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150905511L"
    }
  }
}