{
  "id": "1503.08451",
  "version": "v1",
  "published": "2015-03-29T15:57:07.000Z",
  "updated": "2015-03-29T15:57:07.000Z",
  "title": "Categorification of the colored $\\mathfrak{sl}_3$-invariant",
  "authors": [
    "Louis-Hadrien Robert"
  ],
  "comment": "39 pages, many figures. Comments welcome!",
  "categories": [
    "math.AT",
    "math.QA",
    "math.RT"
  ],
  "abstract": "We give explicit resolutions of all finite dimensional, simple $U_q(\\mathfrak{sl_3})$-modules. We use these resolutions to categorify the colored $\\mathfrak{sl}_3$-invariant of framed links via a complex of complexes of graded $\\mathbb{Z}$-modules.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-03-29T15:57:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "categorification",
      "explicit resolutions",
      "finite dimensional"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 39,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1357073
    }
  }
}