{
  "annotation_id": "17731652-efbf-46f9-93ce-256bf43e4f16",
  "date_created": "2026-03-02T18:02:51.631000Z",
  "date_modified": "2026-03-02T18:02:51.631000Z",
  "file_hash": "dbfd3921d3afe63c53486ab1c8831992d609ad7f853ed0b13d72869ddce51548",
  "private": false,
  "record": {
    "abstract": "Many of the known solutions of the Yang-Baxter equation, which are related to\nsolvable lattice models of vertex- and IRF-type, yield representations of the\nBirman-Wenzl-Murakami algebra. From these, representations of a two-colour\ngeneralization of the Birman-Wenzl-Murakami algebra can be constructed, which\nin turn are used to derive trigonometric solutions to the Yang-Baxter equation.\nIn spirit, this construction resembles the fusion procedure, in the sense that\nstarting from known solutions of the Yang-Baxter equation new solutions can be\nobtained.",
    "arxiv_id": "solv-int/9612001",
    "authors": [
      "Uwe Grimm"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "journal_ref": "Proceedings of the Quantum Group Symposium at the XXI\n  International Colloquium on Group Theoretical Methods in Physics, edited by\n  H.-D. Doebner and V.K. Dobrev, Heron Press, Sofia (1997), pp. 114-119",
    "title": "Representations of Two-Colour BWM Algebras and Solvable Lattice Models",
    "url": "https://arxiv.org/abs/solv-int/9612001"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d389f4c9-90bb-4e81-bb62-0822d7308274",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}