{
  "annotation_id": "0141f465-0346-428d-87dd-18121ee08eed",
  "date_created": "2026-03-02T18:01:28.068000Z",
  "date_modified": "2026-03-02T18:01:28.068000Z",
  "file_hash": "096623576c59883b7ae592f82cf895be628fb0a87f75ae300a8d1f4dbe4c2dd5",
  "private": false,
  "record": {
    "abstract": "We consider the quantum double D(G) of a compact group G, following an\nearlier paper. We use the explicit comultiplication on D(G) in order to build\ntensor products of irreducible *-representations. Then we study their behaviour\nunder the action of the R-matrix, and their decomposition into irreducible\n*-representations. The example of D(SU(2)) is treated in detail, with explicit\nformulas for direct integral decomposition (`Clebsch-Gordan series\u0027) and\nClebsch-Gordan coefficients. We point out possible physical applications.",
    "arxiv_id": "q-alg/9712042",
    "authors": [
      "T. H. Koornwinder",
      "F. A. Bais",
      "N. M. Muller"
    ],
    "categories": [
      "q-alg",
      "hep-th",
      "math.QA"
    ],
    "doi": "10.1007/s002200050475",
    "journal_ref": "Commun.Math.Phys. 198 (1998) 157-186",
    "title": "Tensor product representations of the quantum double of a compact group",
    "url": "https://arxiv.org/abs/q-alg/9712042"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5fb9164c-f12b-4fae-9cfa-71bb6a60ac62",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}