{
  "annotation_id": "2e2b3014-af85-4ca4-81e1-27604093e34c",
  "date_created": "2026-03-02T18:01:28.010000Z",
  "date_modified": "2026-03-02T18:01:28.010000Z",
  "file_hash": "ea2db6e6ee420c40704e307430817b531705bbed5b11a6ecaffb95185e1d9151",
  "private": false,
  "record": {
    "abstract": "We prove the Cauchy type identities for the universal double Schubert\npolynomials, introduced recently by W. Fulton. As a corollary, the\ndeterminantal formulae for some specializations of the universal double\nSchubert polynomials corresponding to the Grassmannian permutations are\nobtained. We also introduce and study the universal Schur functions and\nmultiparameter deformation of Schubert polynomials.",
    "arxiv_id": "q-alg/9703047",
    "authors": [
      "Anatol N. Kirillov"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Cauchy identities for universal Schubert polynomials",
    "url": "https://arxiv.org/abs/q-alg/9703047"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1034afb0-4c83-4e94-98bb-b2d685efd8b3",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}