{
  "annotation_id": "1a07ccf0-67fe-46fe-9aa6-254aaf016e8e",
  "date_created": "2026-03-02T18:01:27.544000Z",
  "date_modified": "2026-03-02T18:01:27.544000Z",
  "file_hash": "a33b61cd48d2359e5c4280d27c0a9aa12bd47a799b02b0c1eb8badeef93b0288",
  "private": false,
  "record": {
    "abstract": "Nonlinear $sl(2)$ algebras subtending generalized angular momentum theories\nare studied in terms of undeformed generators and bases. We construct their\nunitary irreducible representations in such a general context. The linear\n$sl(2)$-case as well as its $q$-deformation are easily recovered as specific\nexamples. Two other physically interesting applications corresponding to the\nso-called Higgs and quadratic algebras are also considered. We show that these\ntwo nonlinear algebras can be equipped with a Hopf structure.",
    "arxiv_id": "q-alg/9601001",
    "authors": [
      "B. Abdesselam",
      "J. Beckers",
      "A. Chakrabarti",
      "N. Debergh"
    ],
    "categories": [
      "q-alg",
      "hep-th",
      "math.QA"
    ],
    "doi": "10.1088/0305-4470/29/12/015",
    "journal_ref": "J.Phys.A29:3075-3088,1996; Addendum-ibid.A30:5239-5242,1997",
    "title": "On Nonlinear Angular Momentum Theories, Their Representations and   Associated Hopf Structures",
    "url": "https://arxiv.org/abs/q-alg/9601001"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4a685486-05e6-4b89-afab-0b9bda3953b3",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}