{
  "annotation_id": "bcb3359b-cc55-4eec-a3de-83bdd133659b",
  "date_created": "2026-03-02T18:01:28.717000Z",
  "date_modified": "2026-03-02T18:01:28.717000Z",
  "file_hash": "461ce7ed6c07f48e0b62d228bcb0f4d680ea609034a390bad1a980e634509cc5",
  "private": false,
  "record": {
    "abstract": "The fermionic Fock space admits two different actions of the quantized\nenveloping algebra of $\\hat\\sln$\u003e The first one is a q-deformation of the\nwell-known level-one representation of the affine Lie algebra and the second\none is a new level-zero action arising from solvable lattices models. In this\npaper we prove that these two constructions can be glued together to get a\nrepresentation of a new object: the toridal quantum group. This representation\ninvolves some difference operatorators. It is due to the fact that the\nspecialization at q=1 of the toroidal algebra is isomorphic to the enveloping\nalgebra of the universal central extension of a current algebra over a quantum\ntorus.",
    "arxiv_id": "q-alg/9612035",
    "authors": [
      "M. Varagnolo",
      "E. Vasserot"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Double-loop algebras and the Fock space",
    "url": "https://arxiv.org/abs/q-alg/9612035"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "89eeaece-1fc5-4d0e-9fec-fa39c1c7a45c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}