{
  "annotation_id": "efab67b1-f324-4317-9f96-4a807d56d515",
  "date_created": "2026-03-02T18:01:28.779000Z",
  "date_modified": "2026-03-02T18:01:28.779000Z",
  "file_hash": "e48229542d0b1a4acec257a8aa4b49507b2d7697abfeb482456f68d53473bd3d",
  "private": false,
  "record": {
    "abstract": "We construct a representation of $U_q(\\widehat{sl}_2)$ at level $-1/2$ by\nusing the bosonic Fock spaces. The irreducible modules are obtained as the\nkernel of a certain operator, in contrast to the construction by Feingold and\nFrenkel for $q=1$ where such a procedure is not necessary. We also bosonize the\n$q$-vertex operators associated with the vector representation.",
    "arxiv_id": "q-alg/9605029",
    "authors": [
      "Yoshitaka Koyama"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Bosonization of Admissible Representations of $U_q(\\widehat{sl}_2)$ at   Level $-\\frac{1}{2}$ and $q$-Vertex Operators",
    "url": "https://arxiv.org/abs/q-alg/9605029"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "95ea7cc2-cbdf-421e-b34f-da9114e6b074",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}