Classification of ten-dimensional kinematical groups with space isotropy

1 October 1986

journal article
Published by AIP Publishing in Journal of Mathematical Physics

Vol. 27 (10) , 2455-2457
https://doi.org/10.1063/1.527306

Abstract

All the abstract ten-dimensional real Lie algebras that contain as a subalgebra the algebra of the three-dimensional rotation group (generators J) and decompose under the rotation group into three three-vector representation spaces (J itself, K, and P) and a scalar (generator H) are classified. In all cases, the existence of a homogeneous space of dimension 4 is shown.

Keywords

LIE ALGEBRA
LIE GROUP
HOMOGENEOUS SPACE
THREE DIMENSIONAL

This publication has 2 references indexed in Scilit:

Possible Kinematics
Journal of Mathematical Physics, 1968
On the Contraction of Groups and Their Representations
Proceedings of the National Academy of Sciences, 1953