{
  "annotation_id": "282dcf5d-7225-471c-a660-7f2c9bde169e",
  "date_created": "2026-03-02T18:01:28.353000Z",
  "date_modified": "2026-03-02T18:01:28.353000Z",
  "file_hash": "44a4d856de19a96cfbb2d12e30c78d34d1177396d347f155fb5471844cd801f4",
  "private": false,
  "record": {
    "abstract": "All possible Lie bialgebra structures on the harmonic oscillator algebra are\nexplicitly derived and it is shown that all of them are of the coboundary type.\nA non-standard quantum oscillator is introduced as a quantization of a\ntriangular Lie bialgebra, and a universal $R$-matrix linked to this new quantum\nalgebra is presented.",
    "arxiv_id": "q-alg/9701027",
    "authors": [
      "Angel Ballesteros",
      "Francisco J. Herranz"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "journal_ref": "Quantum Group Symposium at Group21, Eds: H.D. Doebner, V.K.\n  Dobrev, (Heron Press: Sofia), 1997, pp. 379-385",
    "title": "Harmonic Oscillator Lie Bialgebras and their Quantization",
    "url": "https://arxiv.org/abs/q-alg/9701027"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "074bc6e0-539a-49af-b9fc-4d1933fc0fde",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}