{
  "annotation_id": "1489c902-33eb-4393-bd33-eceac3931f0f",
  "date_created": "2026-03-02T18:01:28.357000Z",
  "date_modified": "2026-03-02T18:01:28.357000Z",
  "file_hash": "9903d49fde71f8787c3bd64c4296116e0786de9e48c275b3e9f3bdc7b290716a",
  "private": false,
  "record": {
    "abstract": "In this paper we prove that certain matrix elements of vertex operators of\ndeformed W-algebra satisfy Macdonald difference equations and form n!\n-dimensional space of solutions. These solutions are the analogues of Harish\nChandra solutions with prescribed asymptotic behavior. We obtain formulas for\nanalytic continuation as a consequence of braiding properties of vertex\noperators of deformed W-algebra.",
    "arxiv_id": "q-alg/9702011",
    "authors": [
      "A. Kazarnovski-Krol"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Matrix elements of vertex operators of deformed W-algebra and Harish   Chandra Solutions to Macdonald\u0027s difference equations",
    "url": "https://arxiv.org/abs/q-alg/9702011"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a6d15e08-4129-40b3-9c6c-b00e8089186c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}