{
  "annotation_id": "1c10ba4b-0c87-43b5-99b8-d77f7b2d97ff",
  "date_created": "2026-03-02T18:01:27.611000Z",
  "date_modified": "2026-03-02T18:01:27.611000Z",
  "file_hash": "2cdcc73d91a2caca7c036d1e6132f262eaab2105d2050d9076f1da613bb77e75",
  "private": false,
  "record": {
    "abstract": "Using a theorem of Schechtman - Varchenko on integral expressions for\nsolutions of Knizhnik - Zamolodchikov equations we prove that the solutions of\nthe Yang - Baxter equation associated to complex simple Lie algebras belong to\nthe class of generalised Magnus representations of the braid group. Hence they\ncan be obtained from the homology of a certain cell complex, or equivalently as\ngroup homology of iterated free groups.",
    "arxiv_id": "q-alg/9606015",
    "authors": [
      "Mirko Luedde"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "A cellular braid action and the Yang - Baxter equation",
    "url": "https://arxiv.org/abs/q-alg/9606015"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f8e22ba1-6e68-493c-8ef1-19216b2bdeae",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}