{
  "annotation_id": "bebeb4c0-079c-4f7e-b6c7-68b4ff3d8f0a",
  "date_created": "2026-03-02T18:01:28.472000Z",
  "date_modified": "2026-03-02T18:01:28.472000Z",
  "file_hash": "6bd8708d2d8d8fe86cfd2ff88ce069dfa4e222a86a339bfb9da71b7a968ca3b6",
  "private": false,
  "record": {
    "abstract": "We present a one-parameter family of constant solutions of the reflection\nequation and define a family of quantum complex Grassmannians endowed with a\ntransitive action of the quantum unitary group. By computing the radial part of\na suitable Casimir operator, we identify the zonal spherical functions (i.e.\ninfinitesimally bi-invariant matrix coefficients of finite-dimensional\nirreducible representations) as multivariable Askey-Wilson polynomials\ncontaining two continuous and two discrete parameters.",
    "arxiv_id": "q-alg/9603014",
    "authors": [
      "M. Noumi",
      "M. S. Dijkhuizen",
      "T. Sugitani"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Multivariable Askey-Wilson Polynomials and Quantum Complex Grassmannians",
    "url": "https://arxiv.org/abs/q-alg/9603014"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5e9bd540-701a-4435-b196-7db4e2c008e2",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}