{
  "id": "1312.7678",
  "version": "v1",
  "published": "2013-12-30T11:01:56.000Z",
  "updated": "2013-12-30T11:01:56.000Z",
  "title": "Introduction to $τ$-tilting theory",
  "authors": [
    "Osamu Iyama",
    "Idun Reiten"
  ],
  "comment": "8 pages. To appear in Proc. Natl. Acad. Sci. USA",
  "categories": [
    "math.RT",
    "math.CO",
    "math.CT",
    "math.RA"
  ],
  "abstract": "From the viewpoint of mutation, we will give a brief survey of tilting theory and cluster-tilting theory together with a motivation from cluster algebras. Then we will give an introdution to \\tau-tilting theory which was recently developed in [AIR].",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-12-30T11:01:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "introduction",
      "brief survey",
      "cluster algebras",
      "cluster-tilting theory"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1073/pnas.1313075111",
      "journal": "Proceedings of the National Academy of Science",
      "year": 2014,
      "month": "Jul",
      "volume": 111,
      "number": 27,
      "pages": 9704
    },
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014PNAS..111.9704I"
    }
  }
}