{
  "annotation_id": "7e7064cd-aa05-4797-99a2-8270d04703ec",
  "date_created": "2026-03-02T18:01:28.471000Z",
  "date_modified": "2026-03-02T18:01:28.471000Z",
  "file_hash": "897513f9514c7f202347ab408243746e817f787b4b218ac95212be9424bad2cf",
  "private": false,
  "record": {
    "abstract": "The two variable Kostka functions are the scalar products of the Macdonald\npolynomials with the Schur polynomials with respect to the scalar product which\nmakes the Hall-Littlewood polynomials pairwise orthogonal. A conjecture of\nMacdonald states that they are polynomials in q and t with non-negative\nintegral coefficients. We prove that the Kostka functions are at least\npolynomials with integral coefficients. The main idea is to prove an analogous\nstatement for the non-symmetric Macdonald polynomials by establishing recursion\nrelations via the affine Hecke algebra.",
    "arxiv_id": "q-alg/9603027",
    "authors": [
      "Friedrich Knop"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "journal_ref": "J. Reine Angew. Math. 482 (1997), 177-189",
    "title": "Integrality of two variable Kostka functions",
    "url": "https://arxiv.org/abs/q-alg/9603027"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "350898c5-0c67-43fb-b4ec-f1a6c4746da0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}