dorsal/arxiv
View SchemaCentral Extensions of the Quasi-orthogonal Lie algebras
| Authors | J. A. de Azcarraga, F. J. Herranz, J. C. Perez Bueno, M. Santander |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9612021 |
| URL | https://arxiv.org/abs/q-alg/9612021 |
| DOI | 10.1088/0305-4470/31/5/008 |
| Journal | J.Phys.A31:1373-1394,1998 |
Abstract
We determine the central extensions of a whole family of Lie algebras, obtained by the method of graded contractions from so(N+1), N arbitrary. All the inhomogeneous orthogonal and pseudo-orthogonal algebras are members of this family, as well as a large number of other non-semisimple algebras, all of which have at least a semidirect structure (in some cases two or more). The dimensions of their second cohomology groups H^2(G,R) and the explicit expression of their central extensions are given.
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"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"
},
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