{
  "id": "1110.3040",
  "version": "v1",
  "published": "2011-10-13T19:58:43.000Z",
  "updated": "2011-10-13T19:58:43.000Z",
  "title": "The Tamari lattice as it arises in quiver representations",
  "authors": [
    "Hugh Thomas"
  ],
  "comment": "9 pages. This will appear as a chapter in the upcoming Tamari Festschrift",
  "categories": [
    "math.RT",
    "math.CO"
  ],
  "abstract": "In this paper, we explain how the Tamari lattice arises in the context of the representation theory of quivers, as the poset whose elements are the torsion classes of a directed path quiver, with the order relation given by inclusion.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-10-13T19:58:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16G20",
      "06B99"
    ],
    "keywords": [
      "quiver representations",
      "tamari lattice arises",
      "representation theory",
      "torsion classes",
      "directed path quiver"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1110.3040T"
    }
  }
}