{
  "annotation_id": "6086ebc7-6587-40bd-9e85-4296dcf4c7b6",
  "date_created": "2026-03-02T18:01:28.642000Z",
  "date_modified": "2026-03-02T18:01:28.642000Z",
  "file_hash": "d0da3c3322cfbb5e3cef8e679e2e9482398c032623d4b59455422d63056c2bf5",
  "private": false,
  "record": {
    "abstract": "In this note we give a short proof of Cherednik\u0027s generalization of\nMacdonald-Mehta identities for the root system $A_{n-1}$ using the\nrepresentation theory of quantum groups. These identities, suggested and proved\nby Cherednik, give an explicit formula for the integral of a product of\nMacdonald polynomials with respect to a ``difference analogue of the Gaussian\nmeasure\u0027\u0027.",
    "arxiv_id": "q-alg/9712051",
    "authors": [
      "Pavel Etingof",
      "Alexander Kirillov Jr"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "On Cherednik-Macdonald-Mehta identities",
    "url": "https://arxiv.org/abs/q-alg/9712051"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7069ea0c-b7b0-4a27-a379-8bd80bfa11fb",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}