{
  "annotation_id": "4be91998-9aab-4949-afc5-6aec6839b59e",
  "date_created": "2026-03-02T18:01:28.822000Z",
  "date_modified": "2026-03-02T18:01:28.822000Z",
  "file_hash": "a87c4be4b761778ca8b8dd2701c3912cc81f8dd840329b60c32842e62e3f785d",
  "private": false,
  "record": {
    "abstract": "Representation theory for the Jordanian quantum algebra U=U_h(sl(2)) is\ndeveloped using a nonlinear relation between its generators and those of sl(2).\nClosed form expressions are given for the action of the generators of U on the\nbasis vectors of finite dimensional irreducible representations. In the tensor\nproduct of two such representations, a new basis is constructed on which the\ngenerators of U have a simple action. Using this basis, a general formula is\nobtained for the Clebsch-Gordan coefficients of U. It is shown that the\nClebsch-Gordan matrix is essentially the product of a triangular matrix with an\nsu(2) Clebsch-Gordan matrix. Using this fact, some remarkable properties of\nthese Clebsch-Gordan coefficients are derived.",
    "arxiv_id": "q-alg/9709005",
    "authors": [
      "J. Van der Jeugt"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "doi": "10.1023/A:1022837902383",
    "title": "The Jordanian deformation of su(2) and Clebsch-Gordan coefficients",
    "url": "https://arxiv.org/abs/q-alg/9709005"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "bb71e619-fac1-40b6-9a00-caffae243c19",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}