Geodesic
Deformations of simple Lie algebras
Izvestiya. Mathematics, Tome 5 (1971) no. 5, pp. 1120-1126 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

If we consider deformations of a Lie algebra over an arbitrary scheme, many simple Lie algebras of characteristic $p$ have deformations. It is shown that when $p>3$ the semisimple Lie algebras without deformations are the Lie algebras of classical type. 
@article{IM2_1971_5_5_a7,
     author = {A. N. Rudakov},
     title = {Deformations of simple {Lie} algebras},
     journal = {Izvestiya. Mathematics},
     pages = {1120--1126},
     year = {1971},
     volume = {5},
     number = {5},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1971_5_5_a7/}
}
TY  - JOUR
AU  - A. N. Rudakov
TI  - Deformations of simple Lie algebras
JO  - Izvestiya. Mathematics
PY  - 1971
SP  - 1120
EP  - 1126
VL  - 5
IS  - 5
UR  - http://geodesic.mathdoc.fr/item/IM2_1971_5_5_a7/
LA  - en
ID  - IM2_1971_5_5_a7
ER  - 
%0 Journal Article
%A A. N. Rudakov
%T Deformations of simple Lie algebras
%J Izvestiya. Mathematics
%D 1971
%P 1120-1126
%V 5
%N 5
%U http://geodesic.mathdoc.fr/item/IM2_1971_5_5_a7/
%G en
%F IM2_1971_5_5_a7
A. N. Rudakov. Deformations of simple Lie algebras. Izvestiya. Mathematics, Tome 5 (1971) no. 5, pp. 1120-1126. http://geodesic.mathdoc.fr/item/IM2_1971_5_5_a7/

[1] Kostrikin A. I., “Parametricheskoe semeistvo prostykh algebr Li”, Izv. AN SSSR. Ser. matem., 34 (1970), 744–756 | MR | Zbl

[2] Manin Yu. I., Lektsii po algebraicheskoi geometrii, Mosk. un-t, M., 1968 | Zbl

[3] Teoriya algebr Li, Seminar “Sofus Li”, M., 1962

[4] Seligman G. B., Modular Lie algebras, New York, 1967 | MR

[5] Humphreys J. E., “Algebraic Lie algebras over field of prime characteristic”, Mem. Amer. Math. Soc., 71 (1967) | MR | Zbl