A classification of the real four-dimensional connected Lie groups is obtained. Those groups which are linearizable are identified; accompanying matrix Lie groups are exhibited.
Classification :
22E15, 22E40
Mots-clés :
Connected Lie group, discrete central subgroup, matrix Lie group
Affiliations des auteurs :
Rory Biggs 
1
;
Claudiu C. Remsing 
1
1
Department of Mathematics, Rhodes University, 6140 Grahamstown, South Africa
Rory Biggs; Claudiu C. Remsing. On the Classification of Real Four-Dimensional Lie Groups. Journal of Lie Theory, Tome 26 (2016) no. 4, pp. 1001-1035. http://geodesic.mathdoc.fr/item/JOLT_2016_26_4_a3/
@article{JOLT_2016_26_4_a3,
author = {Rory Biggs and Claudiu C. Remsing},
title = {On the {Classification} of {Real} {Four-Dimensional} {Lie} {Groups}},
journal = {Journal of Lie Theory},
pages = {1001--1035},
year = {2016},
volume = {26},
number = {4},
url = {http://geodesic.mathdoc.fr/item/JOLT_2016_26_4_a3/}
}
TY - JOUR
AU - Rory Biggs
AU - Claudiu C. Remsing
TI - On the Classification of Real Four-Dimensional Lie Groups
JO - Journal of Lie Theory
PY - 2016
SP - 1001
EP - 1035
VL - 26
IS - 4
UR - http://geodesic.mathdoc.fr/item/JOLT_2016_26_4_a3/
ID - JOLT_2016_26_4_a3
ER -
%0 Journal Article
%A Rory Biggs
%A Claudiu C. Remsing
%T On the Classification of Real Four-Dimensional Lie Groups
%J Journal of Lie Theory
%D 2016
%P 1001-1035
%V 26
%N 4
%U http://geodesic.mathdoc.fr/item/JOLT_2016_26_4_a3/
%F JOLT_2016_26_4_a3