{
  "id": "2004.04995",
  "version": "v1",
  "published": "2020-04-10T11:37:07.000Z",
  "updated": "2020-04-10T11:37:07.000Z",
  "title": "The 144 symmetries of the Littlewood-Richardson coefficients of $SL_3$",
  "authors": [
    "Emmanuel Briand",
    "Mercedes Rosas"
  ],
  "comment": "9 pages. See also the Sage Notebook as an ancillary file, or at: https://nbviewer.jupyter.org/url/emmanuel.jean.briand.free.fr/publications/the144symmetries.ipynb",
  "categories": [
    "math.CO"
  ],
  "abstract": "We compute with SageMath the group of all linear symmetries for the Littlewood-Richardson associated to the representations of $SL_3$. We find that there are 144 symmetries, more than the 12 symmetries known for the Littlewood-Richardson coefficients in general.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-04-10T11:37:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E10",
      "05E05"
    ],
    "keywords": [
      "littlewood-richardson coefficients",
      "linear symmetries"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}