{
  "annotation_id": "69cc813f-a4fd-41bc-b2f5-970f204e7f2c",
  "date_created": "2026-03-02T18:01:25.350000Z",
  "date_modified": "2026-03-02T18:01:25.350000Z",
  "file_hash": "40f2f073788788790a043c4760e801c87241a35c80a3bc29db2f2b01528a51f8",
  "private": false,
  "record": {
    "abstract": "The nonsemisimple quantum Cayley-Klein groups $ Fun(SU_{q}(2;\\bf j}) $ are\nrealized as Hopf algebra of the noncommutative functions with the dual (or\nStudy) variables. The {\\it dual} quantum algebras $ su_q(2;{\\bf j}) $ are\nconstructed and their isomorphisms with the corresponding quantum orthogonal\nalgebras $ so_q(3;{\\bf j}) $ are established. The possible couplings of the\nCayley-Klein and Hopf structures are considered.",
    "arxiv_id": "q-alg/9510024",
    "authors": [
      "N. A. Gromov"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Nonsemisimple Quantum Groups as Hopf Algebras of the Dual Functions",
    "url": "https://arxiv.org/abs/q-alg/9510024"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "05081f0c-a464-420e-ae52-87836c8abfbc",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}