On the central extensions of classical Lie algebras
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 10 (2013), pp. 450-453.

Voir la notice de l'article provenant de la source Math-Net.Ru

The central extensions of the simple quotient Lie algebras by the corresponding centre of classical modular Lie algebras are calculated.
Keywords: Lie algebra, central extension.
@article{SEMR_2013_10_a12,
     author = {S. S. Ibraev},
     title = {On the central extensions of classical {Lie} algebras},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {450--453},
     publisher = {mathdoc},
     volume = {10},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2013_10_a12/}
}
TY  - JOUR
AU  - S. S. Ibraev
TI  - On the central extensions of classical Lie algebras
JO  - Sibirskie èlektronnye matematičeskie izvestiâ
PY  - 2013
SP  - 450
EP  - 453
VL  - 10
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SEMR_2013_10_a12/
LA  - ru
ID  - SEMR_2013_10_a12
ER  - 
%0 Journal Article
%A S. S. Ibraev
%T On the central extensions of classical Lie algebras
%J Sibirskie èlektronnye matematičeskie izvestiâ
%D 2013
%P 450-453
%V 10
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SEMR_2013_10_a12/
%G ru
%F SEMR_2013_10_a12
S. S. Ibraev. On the central extensions of classical Lie algebras. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 10 (2013), pp. 450-453. http://geodesic.mathdoc.fr/item/SEMR_2013_10_a12/

[1] W. L. J. van der Kallen, Infinitesimally central extensions of Chevalley groups, Springer-Verlag, Berlin–Heidelberg–New York, 1973 | MR

[2] M. I. Kuznetsov, N. G. Chebochko, “Deformatsii klassicheskikh algebr Li”, Matematicheskii sbornik, 191:8 (2000), 69–88 | DOI | MR | Zbl

[3] B. Yu. Veisfeller, V. G. Kats, “Eksponentsialy v algebrakh Li kharakteristiki $p$”, Izv. AN SSSR, ser. matem., 35 (1971), 762–788 | MR

[4] J. C. Jantzen, Representations of algebraic groups, Pure and applied mathematics, 131, Academic Press, Inc., 1987 | MR | Zbl