{
  "annotation_id": "2a80b679-7173-4f53-857e-58705412c9c4",
  "date_created": "2026-03-02T18:01:28.717000Z",
  "date_modified": "2026-03-02T18:01:28.717000Z",
  "file_hash": "530164dc37aafd0c62328842b249400c367033e7248b01576141e067d21f0381",
  "private": false,
  "record": {
    "abstract": "The similarity transformations of quantum orthogonal groups are developed and\nFRT theory is reformulated to the Cartesian basis. The quantum orthogonal\nCayley-Klein groups are introduced as the algebra functions over an associative\nalgebra with the nilpotent generators. The quantum orthogonal Cayley-Klein\nalgebras are obtained as the dual objects to the corresponding quantum groups.",
    "arxiv_id": "q-alg/9610011",
    "authors": [
      "N. A. Gromov",
      "I. V. Kostyakov",
      "V. V. Kuratov"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "doi": "10.1142/S0217751X97000050",
    "title": "Quantum Orthogonal Cayley-Klein Groups in Cartesian Basis",
    "url": "https://arxiv.org/abs/q-alg/9610011"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c3e46b0d-496c-4888-9387-9ee95001e711",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}