{
  "annotation_id": "2259dc7f-4ac1-49f1-875f-4a5d305c0b89",
  "date_created": "2026-03-02T18:01:28.480000Z",
  "date_modified": "2026-03-02T18:01:28.480000Z",
  "file_hash": "7f9a716cdd31958b21c2a1cc53d51eafb0cbfc031e7757de711a47fd15c7f8e8",
  "private": false,
  "record": {
    "abstract": "Braid groups may be defined for every Coxeter diagram. Artin\u0027s braid group is\nof type A. Analogs of Temperley-Lieb, Hecke and Birman-Wenzl algebras exist for\nB-type. Our general hypothethis is that the braid group of B-type replaces\nArtin\u0027s braid group in most physical applications if the model is equipped with\na nontrivial boundary. Solutions of a Potts model with a boundary and the\nreflection equation illustrate this principle. Braided tensor categories of\nB-type and dually Coxeter-B braided Hopf algebras are introduced. The\noccurrence of such categories in QFT on a half plane is discussed.",
    "arxiv_id": "q-alg/9611016",
    "authors": [
      "Reinhard H\u00e4ring-Oldenburg"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Knot Theory of Coxeter type B and its physical applications",
    "url": "https://arxiv.org/abs/q-alg/9611016"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "153ce1fe-effc-41c2-acab-e5f65596463c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}