{
  "annotation_id": "7688714a-91fb-4959-90a2-970e370dba06",
  "date_created": "2026-03-02T18:01:25.094000Z",
  "date_modified": "2026-03-02T18:01:25.094000Z",
  "file_hash": "dac0d4af6080a71924a342312f638fa80c79d6d2242784e3ee53f86991d4bd43",
  "private": false,
  "record": {
    "abstract": "A mapping between the operators of the bosonic oscillator and the Lorentz\nrotation and boost generators is presented. The analog of this map in the\n$q$-deformed regime is then applied to $q$-deformed bosonic oscillators to\ngenerate a $q$-deformed Lorentz algebra, via an inverse of the standard chiral\ndecomposition. A fundamental representation, and the co-algebra structure, are\ngiven, and the generators are reformulated into $q$-deformed rotations and\nboosts. Finally, a relation between the $q$-boson operators and a basis of\n$q$-deformed Minkowski coordinates is noted.",
    "arxiv_id": "q-alg/9509007",
    "authors": [
      "A. Ritz",
      "G. C. Joshi"
    ],
    "categories": [
      "q-alg",
      "hep-th",
      "math.QA"
    ],
    "doi": "10.1016/S0960-0779(96)00159-2",
    "journal_ref": "Chaos Solitons Fractals 8:823-834,1997",
    "title": "A q-Lorentz Algebra From q-Deformed Harmonic Oscillators",
    "url": "https://arxiv.org/abs/q-alg/9509007"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0faf4dc4-ef09-4224-9607-acab81c46cd7",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}