{
  "annotation_id": "9bd84cf0-2846-4c28-846e-ccd9ec6d996d",
  "date_created": "2026-03-02T18:01:25.314000Z",
  "date_modified": "2026-03-02T18:01:25.314000Z",
  "file_hash": "ecd35370e46fef2240cae11fe3fb17508dffe678bd63821495d701c39df2458b",
  "private": false,
  "record": {
    "abstract": "We recall the relation between the Lie superalgebra $osp(1/2n)$ and para-Bose\noperators. The quantum superalgebra $U_q[osp(1/2n)]$, defined as usual in terms\nof its Chevalley generators, is shown to be isomorphic to an associative\nalgebra generated by so-called pre-oscillator operators satisfying a number of\nrelations. From these relations, and the analogue with the non-deformed case,\none can interpret these pre-oscillator operators as deformed para-Bose\noperators. Some consequences for $U_q[osp(1/2n)]$ (Cartan-Weyl basis,\nPoincar\\\u0027e-Birkhoff-Witt basis) and its Hopf subalgebra $U_q[gl(n)]$ are\npointed out. Finally, using a realization in terms of ``$q$-commuting\u0027\u0027\n$q$-bosons, we construct an irreducible finite-dimensional unitary Fock\nrepresentation of $U_q[osp(1/2n)]$ and its decomposition in terms of\n$U_q[gl(n)]$ representations when $q$ is a root of unity.",
    "arxiv_id": "q-alg/9501020",
    "authors": [
      "T. D. Palev",
      "J. Van der Jeugt"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "doi": "10.1088/0305-4470/28/9/019",
    "journal_ref": "J.Phys. A28 (1995) 2605",
    "title": "The quantum superalgebra $U_q[osp(1/2n)]$: deformed para-Bose operators   and root of unity representations",
    "url": "https://arxiv.org/abs/q-alg/9501020"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e3c0bf74-19d5-45ef-840a-66f682a85114",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}