Some properties of almost abelian Lie algebras
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2020), pp. 26-42

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

Finite-dimensional Lie algebras, having an abelian ideal of codimension 1, are studied. Some of their properties are proved, including those related to the structure of the space of all Lie algebras. The automorphism groups of such Lie algebras are also calculated.
Keywords: almost abelian Lie algebra, nilpotent Lie algebra, contraction
Mots-clés : Jordan matrix.
@article{IVM_2020_4_a2,
     author = {V. V. Gorbatsevich},
     title = {Some properties of almost abelian {Lie} algebras},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {26--42},
     publisher = {mathdoc},
     number = {4},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2020_4_a2/}
}
TY  - JOUR
AU  - V. V. Gorbatsevich
TI  - Some properties of almost abelian Lie algebras
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2020
SP  - 26
EP  - 42
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2020_4_a2/
LA  - ru
ID  - IVM_2020_4_a2
ER  - 
%0 Journal Article
%A V. V. Gorbatsevich
%T Some properties of almost abelian Lie algebras
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2020
%P 26-42
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2020_4_a2/
%G ru
%F IVM_2020_4_a2
V. V. Gorbatsevich. Some properties of almost abelian Lie algebras. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2020), pp. 26-42. http://geodesic.mathdoc.fr/item/IVM_2020_4_a2/