{
  "annotation_id": "0ab12e61-2ad7-48f8-9085-e337245dd9a0",
  "date_created": "2026-03-02T18:01:28.460000Z",
  "date_modified": "2026-03-02T18:01:28.460000Z",
  "file_hash": "df650a8d862bc36de15b791faee07ec0357e6f386930c0ed64d59473f929e8b0",
  "private": false,
  "record": {
    "abstract": "We investigate certain bases of Hecke algebras defined by means of the\nYang-Baxter equation, which we call Yang-Baxter bases. These bases are\nessentially self-adjoint with respect to a canonical bilinear form. In the case\nof the degenerate Hecke algebra, we identify the coefficients in the expansion\nof the Yang-Baxter basis on the usual basis of the algebra with specializations\nof double Schubert polynomials. We also describe the expansions associated to\nother specializations of the generic Hecke algebra.",
    "arxiv_id": "q-alg/9607015",
    "authors": [
      "Alain Lascoux",
      "Bernard Leclerc",
      "Jean-Yves Thibon"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Flag varieties and the Yang-Baxter equation",
    "url": "https://arxiv.org/abs/q-alg/9607015"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ab652d37-b1ed-49e8-a5fa-e55f1adbd544",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}