{
  "annotation_id": "42d52a39-ebd1-40ef-8703-e9b64d43ed36",
  "date_created": "2026-03-02T18:01:27.667000Z",
  "date_modified": "2026-03-02T18:01:27.667000Z",
  "file_hash": "77c639d79631b709e8b7c2f22d0f55dbc31f06d950c46b055668620e3811ba24",
  "private": false,
  "record": {
    "abstract": "We determine the central extensions of a whole family of Lie algebras,\nobtained by the method of graded contractions from so(N+1), N arbitrary. All\nthe inhomogeneous orthogonal and pseudo-orthogonal algebras are members of this\nfamily, as well as a large number of other non-semisimple algebras, all of\nwhich have at least a semidirect structure (in some cases two or more). The\ndimensions of their second cohomology groups H^2(G,R) and the explicit\nexpression of their central extensions are given.",
    "arxiv_id": "q-alg/9612021",
    "authors": [
      "J. A. de Azcarraga",
      "F. J. Herranz",
      "J. C. Perez Bueno",
      "M. Santander"
    ],
    "categories": [
      "q-alg",
      "hep-th",
      "math-ph",
      "math.MP",
      "math.QA"
    ],
    "doi": "10.1088/0305-4470/31/5/008",
    "journal_ref": "J.Phys.A31:1373-1394,1998",
    "title": "Central Extensions of the Quasi-orthogonal Lie algebras",
    "url": "https://arxiv.org/abs/q-alg/9612021"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "55c0a392-01be-4a41-ba29-ad371c514064",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}