{
  "annotation_id": "6bb9bffe-cce5-4b60-bdbd-1e923455e31c",
  "date_created": "2026-03-02T18:01:25.083000Z",
  "date_modified": "2026-03-02T18:01:25.083000Z",
  "file_hash": "d1b31f283eceed4d8c1969125a92e75edcd9132cfff46e0629a7be86d76b51f6",
  "private": false,
  "record": {
    "abstract": "In a recent paper (1994 {\\sl J.\\ Phys.\\ A: Math.\\ Gen.\\ }{\\bf 27} 5907), Oh\nand Singh determined a Hopf structure for a generalized $q$-oscillator algebra.\nWe prove that under some general assumptions, the latter is, apart from some\nalgebras isomorphic to su$_q$(2), su$_q$(1,1), or their undeformed\ncounterparts, the only generalized deformed oscillator algebra that supports a\nHopf structure. We show in addition that the latter can be equipped with a\nuniversal $\\cR$-matrix, thereby making it into a quasitriangular Hopf algebra.",
    "arxiv_id": "q-alg/9510001",
    "authors": [
      "C. Quesne",
      "N. Vansteenkiste"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "doi": "10.1088/0305-4470/28/23/039",
    "journal_ref": "J. Phys. A 28 (1995) 7019-7025",
    "title": "Comment on ``Generalized $q$-oscillators and their Hopf structures\u0027\u0027",
    "url": "https://arxiv.org/abs/q-alg/9510001"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "55a054cc-1f1d-4ddd-9015-30d18f271b8e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}