{
  "annotation_id": "68f10e64-25ff-4d8b-bf08-1eb36c8c3e7f",
  "date_created": "2026-03-02T18:01:24.708000Z",
  "date_modified": "2026-03-02T18:01:24.708000Z",
  "file_hash": "8895ffd55057cbe573c4dc77fa58777a145279e5b9696fae6f29f948442cba70",
  "private": false,
  "record": {
    "abstract": "Differential calculi of Poincare-Birkhoff-Witt type on universal enveloping\nalgebras of Lie algebras g are defined. This definition turns out to be\nindependent of the basis chosen in g. The role of automorphisms of g is\nexplained. It is proved that no differential calculus of Poincare-Birkhoff-Witt\ntype exists on semi-simple Lie algebras. Examples are given, namely gl_n,\nAbelian Lie algebras, the Heisenberg algebra, the Witt and the Virasoro\nalgebra. Completely treated are the 2-dimensional solvable Lie algebra, and the\n3-dimensional Heisenberg algebra.",
    "arxiv_id": "q-alg/9506010",
    "authors": [
      "R. Martini",
      "G. F. Post",
      "P. H. M. Kersten"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Differential Calculi of Poincare-Birkhoff-Witt type on Universal   Enveloping Algebras",
    "url": "https://arxiv.org/abs/q-alg/9506010"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b0415e2c-13e8-43f4-9f9a-1eb29b06c008",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}