Journal of Lie Theory 26 (2016), No. 4, 1001--1035
Copyright Heldermann Verlag 2016
On the Classification of Real Four-Dimensional Lie Groups
Rory Biggs
Department of Mathematics, Rhodes University, 6140 Grahamstown, South Africa
rorybiggs@gmail.com
Claudiu C. Remsing
Department of Mathematics, Rhodes University, 6140 Grahamstown, South Africa
c.c.remsing@ru.ac.za
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.
Keywords: Connected Lie group, discrete central subgroup, matrix Lie group.
MSC: 22E15, 22E40
[ Fulltext-pdf (496 KB)] for subscribers only.