{
  "annotation_id": "6f7b5286-ab62-438e-9bfb-89609a99dea8",
  "date_created": "2026-03-02T18:01:28.403000Z",
  "date_modified": "2026-03-02T18:01:28.403000Z",
  "file_hash": "6805eac0869b618844a9a06fb548cc3e9a321169231fcf7fbe392939ce139ba5",
  "private": false,
  "record": {
    "abstract": "The Yang-Baxter equation admits two classes of elliptic solutions, the vertex\ntype and the face type. On the basis of these solutions, two types of elliptic\nquantum groups have been introduced (Foda et al., Felder). Fronsdal made a\npenetrating observation that both of them are quasi-Hopf algebras, obtained by\ntwisting the standard quantum affine algebra U_q(g). In this paper we present\nan explicit formula for the twistors in the form of an infinite product of the\nuniversal R matrix of U_q(g). We also prove the shifted cocycle condition for\nthe twistors, thereby completing Fronsdal\u0027s findings.\n  This construction entails that, for generic values of the deformation\nparameters, representation theory for U_q(g) carries over to the elliptic\nalgebras, including such objects as evaluation modules, highest weight modules\nand vertex operators. In particular, we confirm the conjectures of Foda et al.\nconcerning the elliptic algebra A_{q,p}(^sl_2).",
    "arxiv_id": "q-alg/9712029",
    "authors": [
      "M. Jimbo",
      "H. Konno",
      "S. Odake",
      "J. Shiraishi"
    ],
    "categories": [
      "q-alg",
      "hep-th",
      "math.QA"
    ],
    "journal_ref": "Transformation Groups 4 (1999) 303-327",
    "title": "Quasi-Hopf twistors for elliptic quantum groups",
    "url": "https://arxiv.org/abs/q-alg/9712029"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8cc58424-8c58-48f4-b602-01b95e2b2662",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}