Geodesic
Filtered deformations of the Frank algebras
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2009), pp. 53-56 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

In this paper we prove the rigidity of simple Lie algebras of the Frank series of characteristic 3 with the standard grading of depth 2 with respect to filtered deformations.
Keywords: graded Lie algebra, filtered deformation, Spenser cohomology. 
@article{IVM_2009_8_a6,
     author = {A. A. Ladilova},
     title = {Filtered deformations of the {Frank} algebras},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {53--56},
     year = {2009},
     number = {8},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2009_8_a6/}
}
TY  - JOUR
AU  - A. A. Ladilova
TI  - Filtered deformations of the Frank algebras
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2009
SP  - 53
EP  - 56
IS  - 8
UR  - http://geodesic.mathdoc.fr/item/IVM_2009_8_a6/
LA  - ru
ID  - IVM_2009_8_a6
ER  - 
%0 Journal Article
%A A. A. Ladilova
%T Filtered deformations of the Frank algebras
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2009
%P 53-56
%N 8
%U http://geodesic.mathdoc.fr/item/IVM_2009_8_a6/
%G ru
%F IVM_2009_8_a6
A. A. Ladilova. Filtered deformations of the Frank algebras. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2009), pp. 53-56. http://geodesic.mathdoc.fr/item/IVM_2009_8_a6/

[1] Skryabin S. M., “Novye serii prostykh algebr Li”, Matem. sb., 183:8 (1992), 3–22 | MR | Zbl

[2] Chan Nam Zung, “O dvukh klassakh prostykh algebr Li nad polem kharakteristiki 3”, Vestn. MGU. Ser. Matem. i mekhan., 1992, no. 2, 12–15 | Zbl

[3] Brown G. E., “On the structure of some Lie algebras of Kuznetsov”, Michigan Math. J., 39 (1992), 85–90 | DOI | MR | Zbl

[4] Strade H., Simple Lie algebras over fields of positive characteristic, De Gruyter expositions in Mathematics, 38, Walter de Gruyter, Berlin–New York, 2004, 540 pp. | MR

[5] Brown G. E., “A class of simple Lie algebras of characteristic three”, Proc. Amer. Math. Soc., 107 (1989), 901–905 | DOI | MR | Zbl

[6] Kuznetsov M. I., “On Lie algebras of contact type”, Comm. Algebra, 18 (1990), 2943–3013 | DOI | MR | Zbl