{
  "annotation_id": "6d704da6-4a91-41fb-90b4-bafe7b1f00c2",
  "date_created": "2026-03-02T18:01:21.216000Z",
  "date_modified": "2026-03-02T18:01:21.216000Z",
  "file_hash": "2ee221768dca47d1d0a06e21f4c690c0580e096e0dfcf050a14ed83176a39f5a",
  "private": false,
  "record": {
    "abstract": "A simple procedure to obtain complete, closed expressions for Lie algebra\ninvariants is presented. The invariants are ultimately polynomials in the group\nparameters. The construction of finite group elements require the use of\nprojectors, whose coefficients are invariant polynomials. The detailed general\nforms of these projectors are given. Closed expressions for finite Lorentz\ntransformations, both homogeneous and inhomogeneous, as well as for Galilei\ntransformations, are found as examples.",
    "arxiv_id": "physics/9712033",
    "authors": [
      "R. Aldrovandi",
      "A. L. Barbosa",
      "L. P. Freitas"
    ],
    "categories": [
      "math-ph",
      "hep-th",
      "math.MP"
    ],
    "doi": "10.1007/BF02435725",
    "title": "Closed Expressions for Lie Algebra Invariants and Finite Transformations",
    "url": "https://arxiv.org/abs/physics/9712033"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "61998e7a-5223-4bfa-9a54-0aba49768f2d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}