{
  "annotation_id": "fb9352fd-fd05-47c9-ae43-b995be8c0549",
  "date_created": "2026-03-02T18:02:51.506000Z",
  "date_modified": "2026-03-02T18:02:51.506000Z",
  "file_hash": "1da3577fb000ec2311e8cff8a01fb73c649be4b3ad627f7eb6f0464ac49e3722",
  "private": false,
  "record": {
    "abstract": "A new Lax representation for the Bogoyavlensky lattice is found, its\n$r$--matrix interpretation is elaborated. The $r$--matrix structure turns out\nto be related to a highly nonlocal quadratic Poisson structure on a direct sum\nof associative algebras. The theory of such nonlocal structures is developed,\nthe Poisson property of the monodromy map is worked out in the most general\nsituation. Some problems concerning the duality of Lax representations are\nraised.",
    "arxiv_id": "solv-int/9610001",
    "authors": [
      "Yuri B. Suris"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "doi": "10.1063/1.532090",
    "journal_ref": "J. Math. Phys., 1997, V. 38, p. 4179-4201.",
    "title": "Nonlocal quadratic Poisson algebras, monodromy map, and Bogoyavlensky   lattices",
    "url": "https://arxiv.org/abs/solv-int/9610001"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "00bffbfe-4698-45c0-9c8e-4e424856df63",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}