{
  "annotation_id": "c52dba8e-a59a-4dd5-9d13-415d9cd4bf41",
  "date_created": "2026-03-02T18:01:25.352000Z",
  "date_modified": "2026-03-02T18:01:25.352000Z",
  "file_hash": "369db79e7a0cf8d84fb78448c416c1df93a7a4ae8f164bbecc2d3ca9b08492dd",
  "private": false,
  "record": {
    "abstract": "For the quantum group $GL_{p,q}(2)$ and the corresponding quantum algebra\n$U_{p,q}(gl(2))$ Fronsdal and Galindo explicitly constructed the so-called\nuniversal $T$-matrix. In a previous paper we showed how this universal\n$T$-matrix can be used to exponentiate representations from the quantum algebra\nto get representations (left comodules) for the quantum group. Here, further\nproperties of the universal $T$-matrix are illustrated. In particular, it is\nshown how to obtain comodules of the quantum algebra by exponentiating modules\nof the quantum group. Also the relation with the universal $R$-matrix is\ndiscussed.",
    "arxiv_id": "q-alg/9507009",
    "authors": [
      "J. Van der Jeugt",
      "R. Jagannathan"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "doi": "10.1007/BF01688821",
    "title": "The exponential map for representations of $U_{p,q}(gl(2))$",
    "url": "https://arxiv.org/abs/q-alg/9507009"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "41446340-f273-4f73-8e65-5e648c6b904d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}