{
  "id": "1405.4928",
  "version": "v2",
  "published": "2014-05-20T01:37:37.000Z",
  "updated": "2017-01-09T23:34:24.000Z",
  "title": "Diagrammatics for Coxeter groups and their braid groups",
  "authors": [
    "Ben Elias",
    "Geordie Williamson"
  ],
  "comment": "Many figures, best viewed in color. Minor updates. This version agrees with the published version",
  "categories": [
    "math.RT",
    "math.GT"
  ],
  "abstract": "We give a monoidal presentation of Coxeter and braid 2-groups, in terms of decorated planar graphs. This presentation extends the Coxeter presentation. We deduce a simple criterion for a Coxeter group or braid group to act on a category.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-05-20T01:37:37.000Z",
      "comment": "Many figures, best viewed in color",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2017-01-09T23:34:24.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "braid group",
      "coxeter group",
      "diagrammatics",
      "presentation extends",
      "decorated planar graphs"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1405.4928E"
    }
  }
}