{
  "annotation_id": "d60ad99a-d1ab-4f95-90a7-180014e5794a",
  "date_created": "2026-03-02T18:01:25.149000Z",
  "date_modified": "2026-03-02T18:01:25.149000Z",
  "file_hash": "55ca22b5e4ff709f067a978029043a90e88c4d365fa60383d2074a54a5bc5ba5",
  "private": false,
  "record": {
    "abstract": "We show that the action of universal $R$-matrix of affine $U_qsl_2$ quantum\nalgebra, when $q$ is a root of unity, can be renormalized by some scalar factor\nto give a well defined nonsingular expression, satisfying Yang-Baxter equation.\nIt reduced to intertwining operators of all representations, corresponding to\nChiral Potts, if the parameters of these representations lie on well known\nalgebraic curve. We also show that affine $U_qsl_2$ for $q$ is a root of unity\nform the autoquasitriangular Hopf algebra in the sence of Reshetikhin.",
    "arxiv_id": "q-alg/9501016",
    "authors": [
      "T. Hakobyan",
      "A. Sedrakyan"
    ],
    "categories": [
      "q-alg",
      "hep-th",
      "math.QA"
    ],
    "doi": "10.1007/BF02102434",
    "journal_ref": "Commun.Math.Phys. 117 (1996) 157-171",
    "title": "On the universal $R$-matrix of $U_q\\hat{sl}_2$ at roots of unity",
    "url": "https://arxiv.org/abs/q-alg/9501016"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "abd9af4a-eaf7-4a65-a323-ff0b911d2bf1",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}