{
  "annotation_id": "ae9b889c-5937-45da-bbc2-6f379e97fc13",
  "date_created": "2026-03-02T18:01:28.289000Z",
  "date_modified": "2026-03-02T18:01:28.289000Z",
  "file_hash": "7d060ad9e8fc78496a838cdb31149d07d0d7b592a182ea0b80c50acdc56b50ef",
  "private": false,
  "record": {
    "abstract": "We present formulas of Rodrigues type giving the Macdonald polynomials for\narbitrary partitions through the repeated application of creation operators on\nthe constant 1. Three expressions for the creation operators are derived one\nfrom the other. When the last of these expressions is used, the associated\nRodrigues formula readily implies the integrality of the (q,t)-Kostka\ncoefficients. The proofs given in this paper rely on the connection between\naffine Hecke algebras and Macdonald polynomials",
    "arxiv_id": "q-alg/9607025",
    "authors": [
      "Luc Lapointe",
      "Luc Vinet"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Rodrigues formulas for the Macdonald polynomials",
    "url": "https://arxiv.org/abs/q-alg/9607025"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1181a6f7-813d-4573-a0a4-90870e3844fb",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}