{
  "annotation_id": "d28f6052-803a-44a3-a5c4-450f2606bc23",
  "date_created": "2026-03-02T18:01:28.290000Z",
  "date_modified": "2026-03-02T18:01:28.290000Z",
  "file_hash": "5336df9993f96b6483121d298d3c41cd79f97ff491bbcfd417903126d6f2a427",
  "private": false,
  "record": {
    "abstract": "The Macdonald polynomials can be obtained by acting on the constant 1 with\ncreation operators. Three different expressions for these operators are\nderived, one from the other, in a rather succint way. When the last of these\nexpressions is used, the formalism is seen to imply straightforwardly the\nintegrality of the (q,t)-Kostka coefficients, that is of the expansion\ncoefficients for the Macdonald functions in terms of Schur functions.",
    "arxiv_id": "q-alg/9607026",
    "authors": [
      "Luc Lapointe",
      "Luc Vinet"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "A short proof of the integrality of the Macdonald (q,t)-Kostka   coefficients",
    "url": "https://arxiv.org/abs/q-alg/9607026"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "09ea75c5-7b29-4c99-a682-d6d4cebcc28b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}