{
  "annotation_id": "e48071d9-386f-4b50-b67f-a2a458e523df",
  "date_created": "2026-03-02T18:01:28.817000Z",
  "date_modified": "2026-03-02T18:01:28.817000Z",
  "file_hash": "20a5ed4eceaadfde44527b2e00292425bffc608c7a15fff83a79076da6be4e40",
  "private": false,
  "record": {
    "abstract": "The structure and representations of the quantum general linear supergroup\nGLq(m|n) are studied systematically by investigating the Hopf superalgebra Gq\nof its representative functions. Gq is factorized into $Gq^{\\pi} Gq^{\\bar\\pi}$,\nand a Peter - Weyl basis is constructed for each factor. Parabolic induction\nfor the quantum supergroup is developed. The underlying geometry of induced\nrepresentations is discussed, and an analog of Frobenius reciprocity is\nobtained. A quantum Borel - Weil theorem is proven for the covariant and\ncontravariant tensorial irreps, and explicit realizations are given for classes\nof tensorial irreps in terms of sections of quantum super vector bundles over\nquantum projective superspaces.",
    "arxiv_id": "q-alg/9611024",
    "authors": [
      "R. B. Zhang"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Structure And Representations Of The Quantum General Linear Supergroup",
    "url": "https://arxiv.org/abs/q-alg/9611024"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d2b994f1-50e1-4aee-9645-3e1e8b10a346",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}