{
  "annotation_id": "5800888c-52ab-445a-9f31-35bc39b020ba",
  "date_created": "2026-03-02T18:01:28.643000Z",
  "date_modified": "2026-03-02T18:01:28.643000Z",
  "file_hash": "06fe7440268f7f13895c18d6583e2317765bd58395d1e7fc66a6ea884187fece",
  "private": false,
  "record": {
    "abstract": "We study an action of the skew divided difference operators on the Schubert\npolynomials and give an explicit formula for structural constants for the\nSchubert polynomials in terms of certain weighted paths in the Bruhat order on\nthe symmetric group. We also prove that, under certain assumptions, the skew\ndivided difference operators transform Schubert polynomials into polynomials\nwith positive integer coefficients.",
    "arxiv_id": "q-alg/9712053",
    "authors": [
      "Anatol N. Kirillov"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Skew divided difference operators and Schubert polynomials",
    "url": "https://arxiv.org/abs/q-alg/9712053"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ab0c81c0-a383-4c37-9b99-99caed9fd261",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}