{
  "annotation_id": "c4a779d5-7cce-45a4-85c2-4c382d9ba6a6",
  "date_created": "2026-03-02T18:01:24.965000Z",
  "date_modified": "2026-03-02T18:01:24.965000Z",
  "file_hash": "e2eb0ef64d3dd8ac0f8d4e366c24da979bb7a062af4b4fa41d795f15839ed3d1",
  "private": false,
  "record": {
    "abstract": "This is an introduction for algebraists to the theory of algebras and Hopf\nalgebras in braided categories. Such objects generalise super-algebras and\nsuper-Hopf algebras, aswell as colour-Lie algebras. Basic facts about braided\ncategories C are recalled, the modules and comodules of Hopf algebras in such\ncategories are studied,the notion of `braided -commutative\u0027 or\n`braided-cocommutative\u0027 Hopf algebras (braided groups) is reviewed and a fully\ndiagrammatic proof of the reconstruction theorem for a braided group aut(C) is\ngiven. The theory has important implications for the theory of quasitriangular\nHopf algebras (quantum groups). It also includes important examples such as the\ndegenerate Sklyanin algebra and the quantum plane.",
    "arxiv_id": "q-alg/9509023",
    "authors": [
      "S. Majid"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Algebras and Hopf Algebras in Braided Categories",
    "url": "https://arxiv.org/abs/q-alg/9509023"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "462d7518-ec3a-46ef-84ea-48c5a9eb067a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}