{
  "annotation_id": "eb287a59-135f-45dd-aaea-ce2677e73784",
  "date_created": "2026-03-02T18:01:28.093000Z",
  "date_modified": "2026-03-02T18:01:28.093000Z",
  "file_hash": "f92ecd268aefa98a676ef026e30cab579f125ba72d5630b7ef8829ac451f844f",
  "private": false,
  "record": {
    "abstract": "In this paper we continue with the program to explore the topography of the\nspace of W-type algebras. In the present case, the starting point is the work\nof Khesin, Lyubashenko and Roger on the algebra of q-deformed\npseudodifferential symbols and their associated integrable hierarchies. The\nanalysis goes on by studying the associated hamiltonian structures for which\ncompact expressions are found. The fundamental Poisson brackets yield\nq-deformations of W_{KP} and related W-type algebras which, in specific cases,\ncoincide with the ones constructed by Frenkel and Reshetikhin. The construction\nunderlies a continuous correspondence between the hamiltonian structures of the\nToda lattice and the KP hierarchies.",
    "arxiv_id": "q-alg/9512025",
    "authors": [
      "Javier Mas",
      "Marcos Seco"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "doi": "10.1063/1.531745",
    "title": "The algebra of q-pseudodifferential symbols and the q-W_{KP}^n algebra",
    "url": "https://arxiv.org/abs/q-alg/9512025"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4a80092f-0ff7-48ea-8632-eefab67898a6",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}