{
  "annotation_id": "a186d0f9-12e5-4ec5-9d63-55acd04f9ac1",
  "date_created": "2026-03-02T18:01:28.475000Z",
  "date_modified": "2026-03-02T18:01:28.475000Z",
  "file_hash": "583a21d7dcef668ff6340a6aca63ae3bdedc645b5c4afe2011771086907002af",
  "private": false,
  "record": {
    "abstract": "Quantum groups lead to an algebraic structure that can be realized on quantum\nspaces. These are noncommutative spaces that inherit a well defined\nmathematical structure from the quantum group symmetry. In turn such quantum\nspaces can be interpreted as noncommutative configuration spaces for physical\nsystems which carry a symmetry like structure. These configuration spaces will\nbe generalized to noncommutative phase space. The definition of the\nnoncommutative phase space will be based on a differential calculus on the\nconfiguration space which is compatible with the symmetry. In addition a\nconjugation operation will be defined which will allow us to define the phase\nspace variables in terms of algebraically selfadjoint operators. An interesting\nproperty of the phase space observables will be that they will have a discrete\nspectrum. These noncommutative phase space puts physics on a lattice structure.",
    "arxiv_id": "q-alg/9607002",
    "authors": [
      "J. Wess"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "doi": "10.1016/0920-5632(96)00314-3",
    "title": "Quantum groups and q-lattices in phase space",
    "url": "https://arxiv.org/abs/q-alg/9607002"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "11823d41-f4de-4192-abaf-ac5ad5e2ca30",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}