{
  "annotation_id": "0bdd7449-7cd3-4c7c-93ab-3fcdbb689e56",
  "date_created": "2026-03-02T18:01:28.475000Z",
  "date_modified": "2026-03-02T18:01:28.475000Z",
  "file_hash": "f7f38417de53bfc13423f12e230975effb8205274a10f87059cbcc4c7c16f793",
  "private": false,
  "record": {
    "abstract": "Heckman and Opdam introduced a non-symmetric analogue of Jack polynomials\nusing Cherednik operators. In this paper, we derive a simple recursion formula\nfor these polynomials and formulas relating the symmetric Jack polynomials with\nthe non-symmetric ones. These formulas are then implemented by a closed\nexpression of symmetric and non-symmetric Jack polynomials in terms of certain\ntableaux. The main application is a proof of a conjecture of Macdonald stating\ncertain integrality and positivity properties of Jack polynomials.",
    "arxiv_id": "q-alg/9610016",
    "authors": [
      "Friedrich Knop",
      "Siddhartha Sahi"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "doi": "10.1007/s002220050134",
    "journal_ref": "Invent. Math. 128 (1997), 9-22",
    "title": "A recursion and a combinatorial formula for Jack polynomials",
    "url": "https://arxiv.org/abs/q-alg/9610016"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7a55ddc4-e651-4728-856d-703fe72fa387",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}