{
  "annotation_id": "fb3ba6c6-8d5b-483c-82a5-eb82e4cc20f1",
  "date_created": "2026-03-02T18:01:25.096000Z",
  "date_modified": "2026-03-02T18:01:25.096000Z",
  "file_hash": "f5c169d4ba8a8f98bc61ff400a52cb7d640d0459ec345d63a554eaa56a10949d",
  "private": false,
  "record": {
    "abstract": "A three-dimensional $q$-Lie algebra of $SU_q(2)$ is realized in terms of\nfirst- and second-order differential operators. Starting from the $q$-Lie\nalgebra one has constructed a left-covariant differential calculus on the\nquantum group. The proposed construction is inverse to the standard Woronowicz\napproach; the left-invariant vector fields are introduced as initial objects\nwhereas the differential 1-forms are defined in a dual manner.",
    "arxiv_id": "q-alg/9510017",
    "authors": [
      "D. G. Pak"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Representation of $SU_q(2)$-covariant $q$-Lie Algebra in Terms of   Differential Operators",
    "url": "https://arxiv.org/abs/q-alg/9510017"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3a1f848a-f4c8-4581-9fee-815d812a79c6",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}