{
  "annotation_id": "c07835e3-8595-41c5-a1bd-9f1093d7b950",
  "date_created": "2026-03-02T18:01:28.651000Z",
  "date_modified": "2026-03-02T18:01:28.651000Z",
  "file_hash": "bf525804315c2fa50fdfa0287daaf67ff0672361948ed47ca95c21fe99fd49e1",
  "private": false,
  "record": {
    "abstract": "We introduce braided Lie bialgebras as the infinitesimal version of braided\ngroups. They are Lie algebras and Lie coalgebras with the coboundary of the Lie\ncobracket an infinitesimal braiding. We provide theorems of transmutation, Lie\nbiproduct, bosonisation and double-bosonisation relating braided Lie bialgebras\nto usual Lie bialgebras. Among the results, the kernel of any split projection\nof Lie bialgebras is a braided-Lie bialgebra. The Kirillov-Kostant Lie\ncobracket provides a natural braided-Lie bialgebra on any complex simple Lie\nalgebra $g$, as the transmutation of the Drinfeld-Sklyanin Lie cobracket. Other\nnontrivial braided-Lie bialgebras are associated to the inductive construction\nof simple Lie bialgebras along the $C$ and exceptional series.",
    "arxiv_id": "q-alg/9703004",
    "authors": [
      "S. Majid"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Braided-Lie bialgebras",
    "url": "https://arxiv.org/abs/q-alg/9703004"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ef8d4929-b679-4fdb-ba04-3012bdf2ee10",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}