{
  "annotation_id": "2241fb4a-fd63-485f-a19e-fbb97bfaa644",
  "date_created": "2026-03-02T18:01:28.592000Z",
  "date_modified": "2026-03-02T18:01:28.592000Z",
  "file_hash": "99c2cae0b68694a5ad7e6b0b728a3b6cec0fc042880760713726b8bdea9b7607",
  "private": false,
  "record": {
    "abstract": "A systematic study of the representation theory of double affine Hecke\nalgebras and related harmonic analysis is started in this paper. Continuing the\nprevious papers we use the technique of intertwining operators to create\nMacdonald polynomials, estimate their denominators, generalize the classical\nrepresentations of p-adic affine Hecke algebras in the spaces of functions on\naffine Weyl groups, and to find out when induced representations are\nirreducible and co-spherical. The connection with recent results by Sahi and\nKnop on the integrality of the Macdonald polynomials is established.",
    "arxiv_id": "q-alg/9605014",
    "authors": [
      "Ivan Cherednik"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Intertwining Operators of Double Affine Hecke Algebras",
    "url": "https://arxiv.org/abs/q-alg/9605014"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8b5bfc0e-829b-4258-a194-21ecebbf2908",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}