{
  "annotation_id": "873b48e2-bdaa-4a1a-a0a6-49099d30af41",
  "date_created": "2026-03-02T18:01:25.413000Z",
  "date_modified": "2026-03-02T18:01:25.413000Z",
  "file_hash": "c40d4e1ac3bb28db76bbd4177749f2ce1faf4b6630ce563d37c22b39de2e5791",
  "private": false,
  "record": {
    "abstract": "W.~Magnus\u0027 representations of submonoids $ E \\leq \\mbox{End}(F) $ of the\nendomorphisms of a free group $ F $ of finite rank are generalised by\nidentifying them with the first homology group of $ F $ with particular\ncoefficient modules. By considering a suitable free resolution of the integers\nover the semidirect product of free groups, a class of representations of the\nbraid group can be obtained on higher homology groups. The resolution shows\nthat the holonomy representations of the braid group and of the Hecke algebra\nconstructed topologically by R.~J.~Lawrence belong to this class.",
    "arxiv_id": "q-alg/9510015",
    "authors": [
      "Mirko Luedde"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Generalised Magnus modules over the braid group",
    "url": "https://arxiv.org/abs/q-alg/9510015"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7c05e8d7-dc06-4748-b8ba-747f60333b1e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}