{
  "annotation_id": "b8b61de6-8b24-4e94-9671-c2c14b2764cf",
  "date_created": "2026-03-02T18:01:27.943000Z",
  "date_modified": "2026-03-02T18:01:27.943000Z",
  "file_hash": "54ce1d3ac0799f618d32b90deaaf292ac8e78bebd19427e64dfbf73cd11e7c9e",
  "private": false,
  "record": {
    "abstract": "We define a three-parameter deformation of the Weyl-Heisenberg algebra that\ngeneralizes the q-oscillator algebra. By a purely algebraical procedure, we set\nup on this quantum space two differential calculi that are shown to be\ninvariant on the same quantum group, extended to a ten-generator\nHopf-star-algebra. We prove that, when the values of the parameters are\nrelated, the two differential calculi reduce to one that is invariant under two\nquantum groups.",
    "arxiv_id": "q-alg/9609008",
    "authors": [
      "M. Irac-Astaud"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "doi": "10.1023/A:1021483726076",
    "title": "A three-parameter deformation of the Weyl-Heisenberg algebra:   differential calculus and invariance",
    "url": "https://arxiv.org/abs/q-alg/9609008"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3c665bd9-ec9e-4cb4-9825-01590385298c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}