{
  "id": "1310.1907",
  "version": "v2",
  "published": "2013-10-07T19:57:33.000Z",
  "updated": "2015-06-06T15:18:19.000Z",
  "title": "A categorification of non-crossing partitions",
  "authors": [
    "Andrew Hubery",
    "Henning Krause"
  ],
  "comment": "34 pages. Substantially revised and final version, accepted for publication in Journal of the European Mathematical Society",
  "categories": [
    "math.RT",
    "math.CO"
  ],
  "abstract": "We present a categorification of the non-crossing partitions given by crystallographic Coxeter groups. This involves a category of certain bilinear lattices, which are essentially determined by a symmetrisable generalised Cartan matrix together with a particular choice of a Coxeter element. Examples arise from Grothendieck groups of hereditary artin algebras.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-10-07T19:57:33.000Z",
      "comment": "30 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2015-06-06T15:18:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "non-crossing partitions",
      "categorification",
      "crystallographic coxeter groups",
      "hereditary artin algebras",
      "bilinear lattices"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1310.1907H"
    }
  }
}