{
  "annotation_id": "229b036e-33e4-405a-ae74-2d588e9446d2",
  "date_created": "2026-03-02T18:02:51.351000Z",
  "date_modified": "2026-03-02T18:02:51.351000Z",
  "file_hash": "7dbcd3a0862b80cf5431447a98df4ac81e8daefc82f836af0a6d299fdeba6d0a",
  "private": false,
  "record": {
    "abstract": "We show that the set of transfer matrices of an arbitrary fusion type for an\nintegrable quantum model obey these bilinear functional relations, which are\nidentified with an integrable dynamical system on a Grassmann manifold (higher\nHirota equation). The bilinear relations were previously known for a particular\nclass of transfer matrices corresponding to rectangular Young diagrams. We\nextend this result for general Young diagrams. A general solution of the\nbilinear equations is presented.",
    "arxiv_id": "solv-int/9704015",
    "authors": [
      "O. Lipan",
      "P. B. Wiegmann",
      "A. Zabrodin"
    ],
    "categories": [
      "solv-int",
      "hep-th",
      "math.QA",
      "nlin.SI",
      "q-alg"
    ],
    "doi": "10.1142/S0217732397001394",
    "journal_ref": "Mod.Phys.Lett. A12 (1997) 1369-1378",
    "title": "Fusion rules for Quantum Transfer Matrices as a Dynamical System on   Grassmann Manifolds",
    "url": "https://arxiv.org/abs/solv-int/9704015"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "491b970a-8c6d-47ec-9aec-8d77ac93ed87",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}