{
  "annotation_id": "546fa528-e9e3-45f8-acbf-35099c17c670",
  "date_created": "2026-03-02T18:01:28.581000Z",
  "date_modified": "2026-03-02T18:01:28.581000Z",
  "file_hash": "c85a606eb6ad2c373ca5d93a3850c794e2f185482a98513dfd1ef7f850ebc72a",
  "private": false,
  "record": {
    "abstract": "We introduce certain raising and lowering operators for Macdonald polynomials\n(of type $A_{n-1}$) by means of Dunkl operators. The raising operators we\ndiscuss are a natural $q$-analogue of raising operators for Jack polynomials\nintroduced by L.Lapointe and L.Vinet. As an application we prove the\nintegrality of double Kostka coefficients. Double analog of the multinomial\ncoefficients are introduced.",
    "arxiv_id": "q-alg/9605004",
    "authors": [
      "Anatol N. Kirillov",
      "Masatoshi Noumi"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Affine Hecke algebras and raising operators for Macdonald polynomials",
    "url": "https://arxiv.org/abs/q-alg/9605004"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3bf763f5-9fda-4b2e-a4f4-95d02b726820",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}