{
  "annotation_id": "33e583f3-3e20-4c71-a169-9185e20841f2",
  "date_created": "2026-03-02T18:01:27.608000Z",
  "date_modified": "2026-03-02T18:01:27.608000Z",
  "file_hash": "cae371be8cadfc248e1661761ad437b523f9c095ae6ae16f52d490dde5d49c7b",
  "private": false,
  "record": {
    "abstract": "We generalise the quantum double construction of Drinfel\u0027d to the case of the\n(Hopf) algebra of suitable functions on a compact or locally compact group. We\nwill concentrate on the *-algebra structure of the quantum double. If the\nconjugacy classes in the group are countably separated, then we classify the\nirreducible *-representations by using the connection with so-called\ntransformation group algebras. For finite groups, we will compare our\ndescription to the result of Dijkgraaf, Pasquier and Roche. Finally we will\nwork out the explicit examples of SU(2) and SL(2,R).",
    "arxiv_id": "q-alg/9605044",
    "authors": [
      "T. H. Koornwinder",
      "N. M. Muller"
    ],
    "categories": [
      "q-alg",
      "hep-th",
      "math.QA"
    ],
    "title": "Quantum double of a (locally) compact group",
    "url": "https://arxiv.org/abs/q-alg/9605044"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8edbf249-f2e7-48be-aa07-6699df513fa2",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}