{
  "annotation_id": "34b336cf-61ef-457f-ac42-f04c6b05b5c4",
  "date_created": "2026-03-02T18:01:27.861000Z",
  "date_modified": "2026-03-02T18:01:27.861000Z",
  "file_hash": "30f990834c83439bb3e17548861ecbbbf7acccbbe42368b42ab51c0e869c9684",
  "private": false,
  "record": {
    "abstract": "All coboundary Lie bialgebras and their corresponding Poisson--Lie structures\nare constructed for the oscillator algebra generated by $\\{\\aa,\\ap,\\am,\\bb\\}$.\nQuantum oscillator algebras are derived from these bialgebras by using the\nLyakhovsky and Mudrov formalism and, for some cases, quantizations at both\nalgebra and group levels are obtained, including their universal $R$--matrices.",
    "arxiv_id": "q-alg/9602029",
    "authors": [
      "Angel Ballesteros",
      "Francisco J. Herranz"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "doi": "10.1088/0305-4470/29/15/006",
    "journal_ref": "J.Phys. A29 (1996) 4307-4320",
    "title": "Lie bialgebra quantizations of the oscillator algebra and their   universal $R$--matrices",
    "url": "https://arxiv.org/abs/q-alg/9602029"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "dc65ea18-9791-4a15-8d30-ff216e19dbf1",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}