{
  "id": "physics/9801008",
  "version": "v1",
  "published": "1998-01-08T18:27:18.000Z",
  "updated": "1998-01-08T18:27:18.000Z",
  "title": "Central extensions of the families of quasi-unitary Lie algebras",
  "authors": [
    "F. J. Herranz",
    "J. C. Pérez Bueno",
    "M. Santander"
  ],
  "comment": "23 pages. Latex2e file",
  "journal": "J.Phys.A31:5327-5347,1998",
  "doi": "10.1088/0305-4470/31/23/015",
  "categories": [
    "math-ph",
    "hep-th",
    "math.MP",
    "math.QA"
  ],
  "abstract": "The most general possible central extensions of two whole families of Lie algebras, which can be obtained by contracting the special pseudo-unitary algebras su(p,q) of the Cartan series A_l and the pseudo-unitary algebras u(p,q), are completely determined and classified for arbitrary p,q. In addition to the su(p,q) and u({p,q}) algebras, whose second cohomology group is well known to be trivial, each family includes many non-semisimple algebras; their central extensions, which are explicitly given, can be classified into three types as far as their properties under contraction are involved. A closed expression for the dimension of the second cohomology group of any member of these families of algebras is given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-01-08T18:27:18.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "central extensions",
      "quasi-unitary lie algebras",
      "second cohomology group",
      "special pseudo-unitary algebras su",
      "cartan series"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Physics A Mathematical General",
      "year": 1998,
      "month": "Jun",
      "volume": 31,
      "number": 23,
      "pages": 5327
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 454504,
      "adsabs": "1998JPhA...31.5327H"
    }
  }
}