{
  "annotation_id": "8a682f9a-a15a-4ae0-b171-9f342ff2b115",
  "date_created": "2026-03-02T18:01:28.592000Z",
  "date_modified": "2026-03-02T18:01:28.592000Z",
  "file_hash": "2a5caa59a82a5dd9932274c7d2b5a770c2869b059ddd1bc27dd2e12931399840",
  "private": false,
  "record": {
    "abstract": "It is shown that the only associative algebras with a trivial center defined\non functions of $\\Rl^N$ by an integral kernel are generalized Moyal algebras,\ncorresponding to some particular operator ordering. Similarly, the only such\nLie algebras are generalized Moyal or Poisson Lie algebras. In both cases these\nstructures are isomorphic respectively to the Moyal algebra, the Moyal Lie\nalgebra and the Poisson Lie algebra. These results are independent of $N$,\nwhich is necessarily even, and generalize previous work on the subject.",
    "arxiv_id": "q-alg/9605018",
    "authors": [
      "C. Tzanakis",
      "A. Dimakis"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "doi": "10.1088/0305-4470/30/13/033",
    "title": "On the uniqueness of the Moyal structure of phase-space functions",
    "url": "https://arxiv.org/abs/q-alg/9605018"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "df781148-3bdf-4ffe-9454-a06f77a1c74e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}