{
  "annotation_id": "bfc21088-eb90-4b09-ba5a-ff928b44a6ef",
  "date_created": "2026-03-02T18:01:28.471000Z",
  "date_modified": "2026-03-02T18:01:28.471000Z",
  "file_hash": "2c9b0bb67cec083ba64571bd5ef712b6696aed48c6832987ede2025578bbd897",
  "private": false,
  "record": {
    "abstract": "Lattice current algebras were introduced as a regularization of the left- and\nright moving degrees of freedom in the WZNW model. They provide examples of\nlattice theories with a local quantum symmetry $U_q(\\sg)$. Their representation\ntheory is studied in detail. In particular, we construct all irreducible\nrepresentations along with a lattice analogue of the fusion product for\nrepresentations of the lattice current algebra. It is shown that for an\narbitrary number of lattice sites, the representation categories of the lattice\ncurrent algebras agree with their continuum counterparts.",
    "arxiv_id": "q-alg/9604017",
    "authors": [
      "A. Yu. Alekseev",
      "L. D. Faddeev",
      "J. Fr\u00f6hlich",
      "V. Schomerus"
    ],
    "categories": [
      "q-alg",
      "hep-th",
      "math.QA"
    ],
    "doi": "10.1007/s002200050260",
    "journal_ref": "Commun.Math.Phys. 191 (1998) 31-60",
    "title": "Representation Theory of Lattice Current Algebras",
    "url": "https://arxiv.org/abs/q-alg/9604017"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d742eed9-89dc-4937-8405-58c8e43a45df",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}