{
  "annotation_id": "9c41feac-788d-4f8b-ac17-452fc4b8c5e6",
  "date_created": "2026-03-02T18:01:27.544000Z",
  "date_modified": "2026-03-02T18:01:27.544000Z",
  "file_hash": "9e7bd622d47645804385b69ff6de186744aec9c773b89468143b8f27a05eeff9",
  "private": false,
  "record": {
    "abstract": "We examine a two-parameter ($\\hbar ,$ $\\lambda $) deformation of the\nPoincar\\`e algebra which is covariant under the action of $SL_q(2,C).$ When\n$\\lambda \\rightarrow 0$ it yields the Poincar\\`e algebra, while in the\n$\\hbar\\rightarrow 0$ limit we recover the classical quadratic algebra discussed\npreviously in \\cite{ssy95}, \\cite{sy95}. The analogues of the Pauli-Lubanski\nvector $w$ and Casimirs $p^2$ and $w^2$ are found and a set of mutually\ncommuting operators is constructed.",
    "arxiv_id": "q-alg/9601010",
    "authors": [
      "A. Stern",
      "I. Yakushin"
    ],
    "categories": [
      "q-alg",
      "hep-th",
      "math.QA"
    ],
    "doi": "10.1142/S0217751X97000670",
    "journal_ref": "Int.J.Mod.Phys. A12 (1997) 891-902",
    "title": "Two-parameter deformation of the Poincar\\\u0027e algebra",
    "url": "https://arxiv.org/abs/q-alg/9601010"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7a89c949-3794-415e-8242-689c4115c8f0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}