{
  "id": "1702.08237",
  "version": "v1",
  "published": "2017-02-27T11:20:09.000Z",
  "updated": "2017-02-27T11:20:09.000Z",
  "title": "Representations of Askey--Wilson algebra",
  "authors": [
    "Daniel Gromada",
    "Severin Pošta"
  ],
  "categories": [
    "math.RT",
    "math.QA"
  ],
  "abstract": "We deal with the classification problem of finite-dimensional representations of so called Askey--Wilson algebra in the case when $q$ is not a root of unity. We classify all representations satisfying certain property, which ensures diagonalizability of one of the generating elements.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-02-27T11:20:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "askey-wilson algebra",
      "ensures diagonalizability",
      "finite-dimensional representations",
      "classification problem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}