{
  "id": "1404.2451",
  "version": "v1",
  "published": "2014-04-09T12:00:24.000Z",
  "updated": "2014-04-09T12:00:24.000Z",
  "title": "The singularity category of a Nakayama algebra",
  "authors": [
    "Dawei Shen"
  ],
  "comment": "12 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "Let $A$ be a Nakayama algebra. We give a description of the singularity category of $A$ inside its stable module category. We prove that there is a duality between the singularity category of $A$ and the singularity category of its opposite algebra. As a consequence, the resolution quiver of $A$ and the resolution quiver of its opposite algebra have the same number of cycles and the same number of cyclic vertices.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-04-09T12:00:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16G10",
      "16D90",
      "18E30"
    ],
    "keywords": [
      "singularity category",
      "nakayama algebra",
      "opposite algebra",
      "resolution quiver",
      "stable module category"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1404.2451S"
    }
  }
}