{
  "annotation_id": "17244607-6d35-48a0-81a8-776266e03c90",
  "date_created": "2026-03-02T18:01:27.732000Z",
  "date_modified": "2026-03-02T18:01:27.732000Z",
  "file_hash": "b90e904f531cbac951aa93072aac3a9e7791d24c1b2e1e9b3d8bcee3b8d082b2",
  "private": false,
  "record": {
    "abstract": "Quantum homogeneous vector bundles are introduced by a direct description of\ntheir sections in the context of Woronowicz type compact quantum groups. The\nbundles carry natural topologies inherited from the quantum groups, and their\nsections furnish projective modules over algebras of functions on quantum\nhomogeneous spaces. Further properties of the quantum homogeneous vector\nbundles are investigated, and their applications to the representation theory\nof quantum groups are explored. In particular, quantum Frobenius reciprocity\nand a generalized Borel-Weil theorem are established.",
    "arxiv_id": "q-alg/9705016",
    "authors": [
      "A. R. Gover",
      "R. B. Zhang"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Geometry of Quantum Homogeneous Vector Bundles and Representation Theory   of Quantum Groups I",
    "url": "https://arxiv.org/abs/q-alg/9705016"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5e941145-0592-4646-a5d8-15ef2619f311",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}