Central extensions of the families of quasi-unitary Lie algebras
Herranz, F. J. ; Bueno, J. C. Pérez ; Santander, M.
arXiv, 9801008 / Harvested from arXiv
Text on arXiv
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.
Publié le : 1998-01-08
Classification:  Mathematical Physics,  High Energy Physics - Theory,  Mathematics - Quantum Algebra 
@article{9801008,
     author = {Herranz, F. J. and Bueno, J. C. P\'erez and Santander, M.},
     title = {Central extensions of the families of quasi-unitary Lie algebras},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9801008}
}

Herranz, F. J.; Bueno, J. C. Pérez; Santander, M. Central extensions of the families of quasi-unitary Lie algebras. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9801008/