{
  "annotation_id": "3051af92-e87a-4dd0-af55-a809a699d6fc",
  "date_created": "2026-03-02T18:01:28.599000Z",
  "date_modified": "2026-03-02T18:01:28.599000Z",
  "file_hash": "626cfd11bd3dfc64db373db2de5c31b831f75644bb9cc3ce677e0336c0b38222",
  "private": false,
  "record": {
    "abstract": "A Gelfan\u0027d--Dyson mapping is used to generate a one-boson realization for the\nnon-standard quantum deformation of $sl(2,\\R)$ which directly provides its\ninfinite and finite dimensional irreducible representations. Tensor product\ndecompositions are worked out for some examples. Relations between contraction\nmethods and boson realizations are also explored in several contexts. So, a\nclass of two-boson representations for the non-standard deformation of\n$sl(2,\\R)$ is introduced and contracted to the non-standard quantum (1+1)\nPoincar\\\u0027e representations. Likewise, a quantum extended Hopf $sl(2,\\R)$\nalgebra is constructed and the Jordanian $q$-oscillator algebra representations\nare obtained from it by means of another contraction procedure.",
    "arxiv_id": "q-alg/9611031",
    "authors": [
      "Angel Ballesteros",
      "Francisco J. Herranz",
      "Javier Negro"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "doi": "10.1088/0305-4470/30/19/018",
    "journal_ref": "J.Phys. A30 (1997) 6797-6809",
    "title": "Boson representations, non-standard quantum algebras and contractions",
    "url": "https://arxiv.org/abs/q-alg/9611031"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0755b13a-e021-4be2-9ec2-6981283b806c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}