{
  "annotation_id": "979991f5-0c5e-46c7-93bf-ade96a2648ea",
  "date_created": "2026-03-02T18:01:27.945000Z",
  "date_modified": "2026-03-02T18:01:27.945000Z",
  "file_hash": "3a69838381cd9b2fce6cc98c5888c1a2e71f0682ac400051aebae35be88db086",
  "private": false,
  "record": {
    "abstract": "We use the representation theory of the infinite matrix group to show that\n(in the polynomial case) the $n$--vector $k$--constrained KP hierarchy has a\nnatural geometrical interpretation on Sato\u0027s infinite Grassmannian. This\ndescription generalizes the the $k$--reduced KP or Gelfand--Dickey hierarchies.",
    "arxiv_id": "q-alg/9609001",
    "authors": [
      "Johan van de Leur"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "doi": "10.1016/S0393-0440(97)81154-0",
    "title": "The vector k-constrained KP hierarchy and Sato\u0027s Grassmannian",
    "url": "https://arxiv.org/abs/q-alg/9609001"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "eee163d3-264d-4e4e-85e3-08afb6b9878d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}