{
  "annotation_id": "951487cd-e521-4cde-baa9-96277854dbcc",
  "date_created": "2026-03-02T18:01:27.611000Z",
  "date_modified": "2026-03-02T18:01:27.611000Z",
  "file_hash": "1122d5a8eb62e5ed0e6cce9d8b199ed056b5613b9ebaae42140de1b0eb4e2551",
  "private": false,
  "record": {
    "abstract": "The generic Hecke algebra for the hyperoctahedral group, i.e. the Weyl group\nof type B, contains the generic Hecke algebra for the symmetric group, i.e. the\nWeyl group of type A, as a subalgebra. Inducing the index representation of the\nsubalgebra gives a Hecke algebra module, which splits multiplicity free. The\ncorresponding zonal spherical functions are calculated in terms of q-Krawtchouk\npolynomials. The result covers a number of previously established\ninterpretations of (q-)Krawtchouk polynomials on the hyperoctahedral group,\nfinite groups of Lie type, hypergroups and the quantum SU(2) group. Jimbo\u0027s\nanalogue of the Frobenius-Schur-Weyl duality is a key ingredient in the proof.",
    "arxiv_id": "q-alg/9605040",
    "authors": [
      "H. T. Koelink"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "q-Krawtchouk polynomials as spherical functions on the Hecke algebra of   type B",
    "url": "https://arxiv.org/abs/q-alg/9605040"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c0f11d6f-7379-4719-bcf5-26363be01179",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}