{
  "annotation_id": "d34100d8-275a-4262-bb10-afb26d3adfcf",
  "date_created": "2026-03-02T18:01:27.946000Z",
  "date_modified": "2026-03-02T18:01:27.946000Z",
  "file_hash": "760dcbe6ae1be9ed6c1ed9679b15e4a40e79bd24d102f0b476b22e0d1a6beb0c",
  "private": false,
  "record": {
    "abstract": "We define a noncommutative algebra of four basic objects within a\ndifferential calculus on quantum groups: functions, 1-forms, Lie derivatives\nand inner derivations, as the cross-product algebra associated with\nWoronowicz\u0027s (differential) algebra of functions and forms. This definition\nproperly takes into account the Hopf algebra structure of the Woronowicz\ncalculus. It also provides a direct proof of the Cartan identity.",
    "arxiv_id": "q-alg/9609005",
    "authors": [
      "A. A. Vladimirov"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "doi": "10.1023/A:1021412632436",
    "title": "Implications of the Hopf algebra properties of noncommutative   differential calculi",
    "url": "https://arxiv.org/abs/q-alg/9609005"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "aa1489e5-e13d-49d2-bcd9-36a0b8fe1e0e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}