{
  "annotation_id": "36278694-ff84-4f66-8219-ca5a4ec87e5e",
  "date_created": "2026-03-02T18:01:27.669000Z",
  "date_modified": "2026-03-02T18:01:27.669000Z",
  "file_hash": "507d9be105b13dbc508df4417d692cf22b0ee704d65acfb53fba8d27dffc9398",
  "private": false,
  "record": {
    "abstract": "We construct a commutative current operator $\\bar x^+(z)$ inside\n$U_q(\\hat{\\frak sl}(2))$. With this operator and the condition of quantum\nintegrability on the quantum current of $U_q(\\hat{\\frak sl}(2))$, we derive the\nquantization of the semi-infinite construction of integrable modules of\n$\\hat{\\frak sl}(2)$ with the current operator $e(z)$ of $\\hat{\\frak sl}(2)$.\nThe quantization of the functional models for $\\hat{\\frak sl}(2)$ are also\ngiven.",
    "arxiv_id": "q-alg/9612009",
    "authors": [
      "Jintai Ding",
      "Boris Feigin"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Quantum current operators (III): Commutative quantum current operators,   semi-infinite construction and functional models",
    "url": "https://arxiv.org/abs/q-alg/9612009"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b8c79964-1d25-4413-a7df-b652598b46bd",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}