{
  "annotation_id": "7c508dfe-1106-4322-bfbe-d3d799799495",
  "date_created": "2026-03-02T18:01:28.582000Z",
  "date_modified": "2026-03-02T18:01:28.582000Z",
  "file_hash": "ff04bd0be00ae61261da374779b7f5b88cc259c1e73b61a56b094019e3d7e9c0",
  "private": false,
  "record": {
    "abstract": "A differential calculus of the first order over multi-braided quantum groups\nis developed. In analogy with the standard theory, left/right-covariant and\nbicovariant differential structures are introduced and investigated.\nFurthermore, antipodally covariant calculi are studied. The concept of the\n*-structure on a multi-braided quantum group is formulated, and in particular\nthe structure of left-covariant *-covariant calculi is analyzed. A special\nattention is given to differential calculi covariant with respect to the action\nof the associated braid system. In particular it is shown that the left/right\nbraided-covariance appears as a consequence of the left/right-covariance\nrelative to the group action. Braided counterparts of all basic results of the\nstandard theory are found.",
    "arxiv_id": "q-alg/9605006",
    "authors": [
      "Mico Durdevic"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "First-Order Differential Calculi Over Multi-Braided Quantum Groups",
    "url": "https://arxiv.org/abs/q-alg/9605006"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9844c409-7501-483e-bc93-5562679571de",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}