{
  "annotation_id": "6fdbe821-a552-4974-b0b6-c2e3bee42889",
  "date_created": "2026-03-02T18:02:30.805000Z",
  "date_modified": "2026-03-02T18:02:30.805000Z",
  "file_hash": "9528bf6c43f93c61bb2dd7a92dbaf08f0a6b461bd4c274cc28a1342c690e7016",
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  "record": {
    "abstract": "Quantization of classical systems using the star-product of symbols of\nobservables is discussed. In the star-product scheme an analysis of dual\nstructures is performed and a physical interpretation is proposed. At the Lie\nalgebra level duality is shown to be connected to double Lie algebras. The\nanalysis is specified to quantum tomography. The classical tomographic Poisson\nbracket is found.",
    "arxiv_id": "quant-ph/0609041",
    "authors": [
      "Olga V. Man\u0027ko",
      "Vladimir I. Man\u0027ko",
      "Giuseppe Marmo",
      "Patrizia Vitale"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/j.physleta.2006.08.057",
    "journal_ref": "Phys.Lett. A360 (2007) 522-532",
    "title": "Star products, duality and double Lie algebras",
    "url": "https://arxiv.org/abs/quant-ph/0609041"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d91005f0-433e-4e11-b7e7-407b40dc3c71",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}