{
  "annotation_id": "c7769b70-191b-48ac-8f1b-f12b9632db1e",
  "date_created": "2026-03-02T18:01:27.738000Z",
  "date_modified": "2026-03-02T18:01:27.738000Z",
  "file_hash": "ce1a4575ee4237140fe655b86459773a8c3c078fb4da167f789bf23180a6fe82",
  "private": false,
  "record": {
    "abstract": "We construct operators t(z) in the elliptic algebra introduced by Foda et al.\n${\\cal A}_{q,p}({\\hat sl}(2)_c)$. They close an exchange algebra when\np^m=q^{c+2} for m integer. In addition they commute when p=q^{2k} for k integer\nnon-zero, and they belong to the center of ${\\cal A}_{q,p}({\\hat sl}(2)_c)$\nwhen k is odd. The Poisson structures obtained for t(z) in these classical\nlimits are identical to the q-deformed Virasoro Poisson algebra, characterizing\nthe exchange algebras at generic values of p, q and m as new ${\\cal\nW}_{q,p}(sl(2))$ algebras.",
    "arxiv_id": "q-alg/9706013",
    "authors": [
      "J. Avan",
      "L. Frappat",
      "M. Rossi",
      "P. Sorba"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "doi": "10.1016/S0375-9601(97)00940-7",
    "journal_ref": "Phys.Lett. A239 (1998) 27-35",
    "title": "New ${\\cal W}_{q,p}(sl(2))$ algebras from the elliptic algebra ${\\cal   A}_{q,p}({\\hat sl}(2)_c)$",
    "url": "https://arxiv.org/abs/q-alg/9706013"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "61a0d136-2e1b-4e3e-8c57-9a2e9c058e99",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}