{
  "annotation_id": "77b52802-7e0a-4e4b-a447-69a9fcfe82c7",
  "date_created": "2026-03-02T18:01:25.412000Z",
  "date_modified": "2026-03-02T18:01:25.412000Z",
  "file_hash": "404e06b6f1eb8bdce27909319c81dc8f96d056c2eea8cf90a6a1ec6ffd79404e",
  "private": false,
  "record": {
    "abstract": "Hopf (bi-)modules and crossed modules over a bialgebra B in a braided\nmonoidal category C are considered. The (braided) monoidal equivalence of both\ncategories is proved provided B is a Hopf algebra (with invertible antipode).\nBialgebra projections and Hopf bimodule bialgebras over a Hopf algebra in C are\nfound to be isomorphic categories. As a consequence a generalization of the\nRadford-Majid criterion for a braided Hopf algebra to be a cross product is\nobtained. The results of this paper turn out to be fundamental for the\nconstruction of (bicovariant) differential calculi on braided Hopf algebras.",
    "arxiv_id": "q-alg/9510009",
    "authors": [
      "Yuri Bespalov",
      "Bernhard Drabant"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Hopf (Bi-)Modules and Crossed Modules in Braided Monoidal Categories",
    "url": "https://arxiv.org/abs/q-alg/9510009"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "bfd75c23-7e82-4b9e-8dc4-c24fb6d79a5d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}