{
  "annotation_id": "a7463337-7d5f-4f31-a17c-b77081c39210",
  "date_created": "2026-03-02T18:01:18.550000Z",
  "date_modified": "2026-03-02T18:01:18.550000Z",
  "file_hash": "2e6f4d53039a1f908933667cb1bc5d00a09316031d92d3e072788b0bc9a77fe0",
  "private": false,
  "record": {
    "abstract": "This note is devoted to a more detailed description of one of the five simple\nexceptional Lie superalgebras of vector fields, cvect(0|3)_*, a subalgebra of\nvect(4|3). We derive differential equations for its elements, and solve these\nequations. Hence we get an exact form for the elements of cvect(0|3)_*.\nMoreover we realize cvect(0|3)_* by \"glued\" pairs of generating functions on a\n(3|3)-dimensional periplectic (odd symplectic) supermanifold and describe the\nbracket explicitly.",
    "arxiv_id": "physics/9703022",
    "authors": [
      "Irina Shchepochkina",
      "Gerhard Post"
    ],
    "categories": [
      "math-ph",
      "math.MP"
    ],
    "title": "Explicit bracket in the exceptional simple Lie superalgebra cvect(0|3)_*",
    "url": "https://arxiv.org/abs/physics/9703022"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7fc59fda-395d-4a28-a6ce-f96346ae4c99",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}