{
  "annotation_id": "b7f2d04d-1ce3-4f7c-b5f4-470cdad3a8f3",
  "date_created": "2026-03-02T18:01:28.075000Z",
  "date_modified": "2026-03-02T18:01:28.075000Z",
  "file_hash": "ff69a6415d1c1ebb41e8bda4f2552eaac0ac4ddd5252c7fa2137a1b5b97fd033",
  "private": false,
  "record": {
    "abstract": "The double quantum groups are the Hopf algebras underlying the complex\nquantum groups of which the simplest example is the quantum Lorentz group. They\nare non- standard quantizations of the double group $G \\times G$. We construct\na corresponding quantized universal enveloping algebra (QUE) and prove that the\npairing between a quantum double group and its QUE is nondegenerate. We analyze\nthe representation theory of these double quantum groups, give a detailed\nversion of the Iwasawa decomposition proved by Podles and Woronowicz for the\nquantum Lorentz group, and show that they are noetherian algebras. Finally we\noutline a construction of more general non-standard quantum groups using\nquantum double groups and their generalizations.",
    "arxiv_id": "q-alg/9601024",
    "authors": [
      "Timothy J. Hodges"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Double quantum groups and Iwasawa decomposition",
    "url": "https://arxiv.org/abs/q-alg/9601024"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0cbbfd32-7b78-405d-85da-9141e7fdd8c3",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}