Classification of 2-step nilpotent Lie algebras of dimension 9 with 2-dimensional center
Czechoslovak Mathematical Journal, Tome 67 (2017) no. 4, pp. 953-965.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

A Lie algebra $L$ is called 2-step nilpotent if $L$ is not abelian and $[L, L]$ lies in the center of $L$. 2-step nilpotent Lie algebras are useful in the study of some geometric problems, and their classification has been an important problem in Lie theory. In this paper, we give a classification of 2-step nilpotent Lie algebras of dimension 9 with 2-dimensional center.
DOI : 10.21136/CMJ.2017.0253-16
Classification : 17B05, 17B30
Keywords: related set; basis; derivation
@article{10_21136_CMJ_2017_0253_16,
     author = {Ren, Bin and Zhu, Lin Sheng},
     title = {Classification of 2-step nilpotent {Lie} algebras of dimension 9 with 2-dimensional center},
     journal = {Czechoslovak Mathematical Journal},
     pages = {953--965},
     publisher = {mathdoc},
     volume = {67},
     number = {4},
     year = {2017},
     doi = {10.21136/CMJ.2017.0253-16},
     mrnumber = {3736011},
     zbl = {06819565},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2017.0253-16/}
}
TY  - JOUR
AU  - Ren, Bin
AU  - Zhu, Lin Sheng
TI  - Classification of 2-step nilpotent Lie algebras of dimension 9 with 2-dimensional center
JO  - Czechoslovak Mathematical Journal
PY  - 2017
SP  - 953
EP  - 965
VL  - 67
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2017.0253-16/
DO  - 10.21136/CMJ.2017.0253-16
LA  - en
ID  - 10_21136_CMJ_2017_0253_16
ER  - 
%0 Journal Article
%A Ren, Bin
%A Zhu, Lin Sheng
%T Classification of 2-step nilpotent Lie algebras of dimension 9 with 2-dimensional center
%J Czechoslovak Mathematical Journal
%D 2017
%P 953-965
%V 67
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2017.0253-16/
%R 10.21136/CMJ.2017.0253-16
%G en
%F 10_21136_CMJ_2017_0253_16
Ren, Bin; Zhu, Lin Sheng. Classification of 2-step nilpotent Lie algebras of dimension 9 with 2-dimensional center. Czechoslovak Mathematical Journal, Tome 67 (2017) no. 4, pp. 953-965. doi : 10.21136/CMJ.2017.0253-16. http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2017.0253-16/

Cité par Sources :