{
  "annotation_id": "57e06d63-a86f-4eec-8a9b-00d567f26a04",
  "date_created": "2026-03-02T18:01:24.725000Z",
  "date_modified": "2026-03-02T18:01:24.725000Z",
  "file_hash": "51506b5d7228f61260c8aeeb749eb4df2e66ff53c1b55550e60256560730a049",
  "private": false,
  "record": {
    "abstract": "We show that R-matricies of all simple quantum groups have the properties\nwhich permit to present quantum group twists as transitions to other coordinate\nframes on quantum spaces. This implies physical equivalence of field theories\ninvariant with respect to q-groups (considered as q-deformed space-time groups\nof transformations) connected with each other by the twists. Taking into\naccount this freedom we study quantum spaces of the special type: with\ncommuting coordinates but with q-deformed differential calculus and construct\n$GL_r(N)$ invariant multidimensional Jackson derivatives. We consider a\nparticle and field theory on a two-dimensional q-space of this kind and come to\nthe conclusion that only one (time-like) coordinate proved to be discretized.",
    "arxiv_id": "q-alg/9507007",
    "authors": [
      "A. P. Demichev"
    ],
    "categories": [
      "q-alg",
      "hep-th",
      "math.QA"
    ],
    "doi": "10.1088/0305-4470/29/11/011",
    "journal_ref": "J.Phys.A29:2737-2750,1996",
    "title": "Geometry of Quantum Group Twists, Multidimensional Jackson Calculus and   Regularization",
    "url": "https://arxiv.org/abs/q-alg/9507007"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d9109162-7912-49df-b025-f759c3e7f10f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}