{
  "annotation_id": "60a726bf-5777-4bc0-9770-0ad8b1054af2",
  "date_created": "2026-03-02T18:01:28.643000Z",
  "date_modified": "2026-03-02T18:01:28.643000Z",
  "file_hash": "a2780e03933f061c7954592c41356dea9555faa8a11505f91d23b646056e8ca7",
  "private": false,
  "record": {
    "abstract": "We introduce a universal R matrix for the Jordanian deformation of $\\U{\n\\sl(2)}$. Using $\\Uh{\\so(4)}=\\Uh{\\sl(2)} \\oplus {\\rm U}_{-h}(\\sl(2))$, we\nobtain the universal R matrix for $\\Uh{\\so(4)}$. Applying the graded\ncontractions on the universal R matrix of $\\Uh{\\so(4)}$, we show that there\nexist three distinct R matrices for all of the contracted algebras. It is shown\nthat $\\Uh{\\sl(2)}$, $\\Uh{\\so(4)}$, and all of these contracted algebras are\ntriangular.",
    "arxiv_id": "q-alg/9512022",
    "authors": [
      "A. Shariati",
      "A. Aghamohammadi",
      "M. Khorrami"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "doi": "10.1142/S0217732396000229",
    "journal_ref": "Mod. Phys. Lett. A 11 (1996) 187",
    "title": "The universal R-matrix for the Jordanian deformation of sl(2), and the   contracted forms of so(4)",
    "url": "https://arxiv.org/abs/q-alg/9512022"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "909aba60-9f3a-481f-8426-41fda6d9aabc",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}