Central Extensions of the Quasi-orthogonal Lie algebras
de Azcarraga, J. A. ; Herranz, F. J. ; Bueno, J. C. Perez ; Santander, M.
arXiv, 9612021 / Harvested from arXiv
Text on arXiv
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.
Publié le : 1996-12-17
Classification:  Mathematics - Quantum Algebra,  High Energy Physics - Theory,  Mathematical Physics 
@article{9612021,
     author = {de Azcarraga, J. A. and Herranz, F. J. and Bueno, J. C. Perez and Santander, M.},
     title = {Central Extensions of the Quasi-orthogonal Lie algebras},
     journal = {arXiv},
     volume = {1996},
     number = {0},
     year = {1996},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9612021}
}

de Azcarraga, J. A.; Herranz, F. J.; Bueno, J. C. Perez; Santander, M. Central Extensions of the Quasi-orthogonal Lie algebras. arXiv, Tome 1996 (1996) no. 0, . http://gdmltest.u-ga.fr/item/9612021/