{
  "annotation_id": "89ee4576-1e76-4a1d-8c72-8a60beebbddd",
  "date_created": "2026-03-02T18:01:28.645000Z",
  "date_modified": "2026-03-02T18:01:28.645000Z",
  "file_hash": "9aaf952fa0b5fbaf121e9c931222e9abe24f7d309cd5b0f50931df126324cc88",
  "private": false,
  "record": {
    "abstract": "The polynomial deformations of the Witten extensions of the U(su(2)) and\nU(osp(1,2)) algebras are three generator algebras with normal ordering,\nadmitting a two generator subalgebra. The modules and the representations of\nthese algebras are based on the construction of Verma modules, which are\nquotient modules, generated by ideals of the original algebra. This\nconstruction unifies a large number of the known algebras under the same\nscheme. The finite dimensional representations show new features such as the\nmultiplicity of representations of the same dimensionality, or the existence of\nfinite dimensional representations only for some dimensions.",
    "arxiv_id": "q-alg/9601005",
    "authors": [
      "Dennis Bonatsos",
      "C. Daskaloyannis",
      "P. Kolokotronis",
      "D. Lenis"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "journal_ref": "Turkish J. Phys. 21 (1997) 311",
    "title": "Representations of the deformed U(su(2)) and U(osp(1,2)) algebras",
    "url": "https://arxiv.org/abs/q-alg/9601005"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "85d6a837-083a-4169-ba77-d36b5660fc9a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}