Central Extensions of the Quasi-orthogonal Lie algebras
q-alg
2008-11-26 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Quantum Algebra
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.
Keywords
Cite
@article{arxiv.q-alg/9612021,
title = {Central Extensions of the Quasi-orthogonal Lie algebras},
author = {J. A. de Azcarraga and F. J. Herranz and J. C. Perez Bueno and M. Santander},
journal= {arXiv preprint arXiv:q-alg/9612021},
year = {2008}
}
Comments
Latex file. 32 pages. Minor changes. To appear in J. Phys. A