{
  "annotation_id": "ceb2bdb6-48d0-4909-bf66-dc5d14c57e1e",
  "date_created": "2026-03-02T18:01:25.367000Z",
  "date_modified": "2026-03-02T18:01:25.367000Z",
  "file_hash": "f747344665884fffc4ddce5deba1bc07901961bc67da15d584d16938570e7c15",
  "private": false,
  "record": {
    "abstract": "A universal quasitriangular $R$--matrix for the non-standard quantum (1+1)\nPoincar\\\u0027e algebra $U_ziso(1,1)$ is deduced by imposing analyticity in the\ndeformation parameter $z$. A family $g_\\mu$ of ``quantum graded contractions\"\nof the algebra $U_ziso(1,1)\\oplus U_{-z}iso(1,1)$ is obtained; this set of\nquantum algebras contains as Hopf subalgebras with two primitive translations\nquantum analogues of the two dimensional Euclidean, Poincar\\\u0027e and Galilei\nalgebras enlarged with dilations. Universal $R$--matrices\n  for these quantum Weyl algebras and their associated quantum groups are\nconstructed.",
    "arxiv_id": "q-alg/9501030",
    "authors": [
      "A. Ballesteros",
      "E. Celeghini",
      "F. J. Herranz",
      "M. A. del Olmo",
      "M. Santander"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "doi": "10.1088/0305-4470/28/11/015",
    "journal_ref": "J.Phys. A28 (1995) 3129-3138",
    "title": "Universal $R$--matrices for non-standard (1+1) quantum groups",
    "url": "https://arxiv.org/abs/q-alg/9501030"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "31bb5561-f838-4d44-af66-e93a335bf613",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}