{
  "id": "2106.00426",
  "version": "v1",
  "published": "2021-06-01T12:20:31.000Z",
  "updated": "2021-06-01T12:20:31.000Z",
  "title": "$τ$-tilting theory -- An introduction",
  "authors": [
    "Hipolito Treffinger"
  ],
  "comment": "52 pages. Comments welcome. This is a revised and extended version of the Lecture notes written for the LMS Autumn School in Algebra 2020. For more information visit \\url{https://www.icms.org.uk/events/event/?id=1073}",
  "categories": [
    "math.RT"
  ],
  "abstract": "The notion of $\\tau$-tilting theory was introduced by Adachi, Iyama and Reiten at the beginning of the last decade and quickly became one of the most active areas of research in the representation theory of finite dimensional algebras. The aim of these notes is two-fold. On the one hand, we want to give a friendly introduction to $\\tau$-tilting theory to anyone with a small background in representation theory. On the other, we want to fill the apparent gap for a survey on the subject by collecting in one place many of the most important results in $\\tau$-tilting theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-06-01T12:20:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "tilting theory",
      "introduction",
      "representation theory",
      "finite dimensional algebras",
      "small background"
    ],
    "tags": [
      "lecture notes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 52,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}