{
  "annotation_id": "32d9ef59-3b57-4af3-ac6a-bcb9083415a1",
  "date_created": "2026-03-02T18:01:25.348000Z",
  "date_modified": "2026-03-02T18:01:25.348000Z",
  "file_hash": "da169899805d352fd0b82c509e5b0d81d6bff0b7f7ef2d78a5eeb578b6d403ae",
  "private": false,
  "record": {
    "abstract": "A variety of three-dimensional left-covariant differential calculi on the\nquantum group $SU_q(2)$ is considered using an approach based on global $ U(1)\n$ -covariance. Explicit representations of possible $q $-Lie algebras are\nconstructed in terms of differential operators. A gauge covariant differential\nalgebra is uniquely determined. The non-standard Leibnitz rule is obtained for\na corresponding $q$-Lie algebra.",
    "arxiv_id": "q-alg/9510025",
    "authors": [
      "D. G. Pak"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Differential Calculi on the Quantum Group $SU_q(2)$ and Global   $U(1)$-covariance",
    "url": "https://arxiv.org/abs/q-alg/9510025"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4e2c3227-835f-4543-b82c-542a1bc3bf40",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}