{
  "annotation_id": "153e179a-0df4-4cad-82eb-8919c7131fca",
  "date_created": "2026-03-02T18:01:24.716000Z",
  "date_modified": "2026-03-02T18:01:24.716000Z",
  "file_hash": "71d9231b01f2d4f4325ccb8478d58a7077d0a2015c65361f3d5f90908e1b8e8c",
  "private": false,
  "record": {
    "abstract": "It is shown that the Heisenberg double has a canonical element, satisfying\nthe pentagon relation. From a given invertible constant solution to the\npentagon relation one can restore the structure of the underlying algebras.\nDrinfeld double can be realized as a subalgebra in the tensor square of the\nHeisenberg double. This enables one to write down solutions to the Yang-Baxter\nrelation in terms of solutions to the pentagon relation.",
    "arxiv_id": "q-alg/9503005",
    "authors": [
      "R. M. Kashaev"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Heisenberg Double and Pentagon Relation",
    "url": "https://arxiv.org/abs/q-alg/9503005"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "82140106-e24c-4680-bd63-c45c881a728a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}