A realization of Cartan extensions
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2008), pp. 3-16.

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

We revise the notion of Cartan extension and consider in detail simple examples of known Cartan extensions.
Keywords: graded Lie algebra, transitivity, creeping mapping, homogeneous element.
Mots-clés : Cartan extension
@article{IVM_2008_10_a0,
     author = {Yu. B. Ermolaev},
     title = {A realization of {Cartan} extensions},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {3--16},
     publisher = {mathdoc},
     number = {10},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2008_10_a0/}
}
TY  - JOUR
AU  - Yu. B. Ermolaev
TI  - A realization of Cartan extensions
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2008
SP  - 3
EP  - 16
IS  - 10
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2008_10_a0/
LA  - ru
ID  - IVM_2008_10_a0
ER  - 
%0 Journal Article
%A Yu. B. Ermolaev
%T A realization of Cartan extensions
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2008
%P 3-16
%N 10
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2008_10_a0/
%G ru
%F IVM_2008_10_a0
Yu. B. Ermolaev. A realization of Cartan extensions. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2008), pp. 3-16. http://geodesic.mathdoc.fr/item/IVM_2008_10_a0/

[1] Kantor I. L., “Graduirovannye algebry Li”, Tr. seminara po vektornomu i tenzornomu analizu, no. XV, Moskovsk. un-t, 1970, 227–266 | MR

[2] Ermolaev Yu. B., “Universalnoe kartanovskoe prodolzhenie”, Izv. vuzov. Matematika, 1997, no. 11, 22–32 | MR | Zbl

[3] Kuznetsov M. I., “The Melikyan algebras as Lie algebras of the type $G_2$”, Communications in Algebra, 19:4 (1991), 1281–1312 | DOI | MR | Zbl

[4] Melikyan G. M., “O prostykh algebrakh Li kharakteristiki $5$”, UMN, 35:1 (1980), 203–204 | MR | Zbl