{
  "annotation_id": "47fead2b-001d-46f0-9a1a-3783f4853010",
  "date_created": "2026-03-02T18:02:40.779000Z",
  "date_modified": "2026-03-02T18:02:40.779000Z",
  "file_hash": "c73efb1c193b0878aea837d6739c6f8e0b060af78a9e9704e0462c6bc2404f4d",
  "private": false,
  "record": {
    "abstract": "Polynomial Lie (super)algebras $g_{pd}$ are introduced via $G_{i}$-invariant\npolynomial Jordan maps in quantum composite models with Hamiltonians $H$ having\ninvariance groups $G_{i}$. Algebras $g_{pd}$ have polynomial structure\nfunctions in commutation relations, are related to pseudogroup structures $\\exp\nV, V\\in g_{pd}$ and describe dynamic symmetry of models under study. Physical\napplications of algebras $g_{pd}$ in quantum optics and in composite field\ntheories are briefly discussed.",
    "arxiv_id": "quant-ph/9704018",
    "authors": [
      "Valery P. Karassiov"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/S0034-4877(97)85920-4",
    "title": "Polynomial Lie Algebras and Associated Pseudogroup Structures in   Composite Quantum Models",
    "url": "https://arxiv.org/abs/quant-ph/9704018"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2c6ba079-08cb-470b-b84d-039b9a4be34d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}