{
  "annotation_id": "e6948a76-c521-4f3b-a701-9a02169423c1",
  "date_created": "2026-03-02T18:01:24.717000Z",
  "date_modified": "2026-03-02T18:01:24.717000Z",
  "file_hash": "a25f863e19d3c8dd94a605a9e761f080fc04f196608ae40833f0e44f8b97f7e8",
  "private": false,
  "record": {
    "abstract": "The braided approach to q-deformation (due to the author and collaborators)\ngives natural algebras $R_{21}u_1Ru_2=u_2R_{21}u_1R$ and $R_{21}x_1x_2=x_2x_1R$\nfor q-Minkowski and q-Euclidean spaces respectively. These algebras are\ncovariant under a corresponding background `rotation\u0027 quantum group. Semidirect\nproduct by this according to the bosonisation procedure (also due to the\nauthor) gives the corresponding Poincar\\\u0027e quantum groups. We review the\nconstruction and collect the resulting R-matrix formulae for both Euclidean and\nMinkowski cases in both enveloping algebra and function algebra form, and the\nduality between them. Axioms for the Poincar\\\u0027e quantum group $*$-structure and\nthe dilaton problem are discussed.",
    "arxiv_id": "q-alg/9502014",
    "authors": [
      "S. Majid"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Some remarks on the {$q$}-Poincare algebra in R-matrix form",
    "url": "https://arxiv.org/abs/q-alg/9502014"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "92ee4c06-b5c6-4075-ac65-e6f2848a0545",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}