Automorphisms of Real 4 Dimensional Lie Algebras and the Invariant Characterization of Homogeneous 4-Spaces

Details Automorphisms of Real 4 Dimensional Lie Algebras and the Invariant Characterization of Homogeneous 4-Spaces Automorphisms of Real 4 Dimensional Lie Algebras and the Invariant Characterization of Homogeneous 4-Spaces

2002-09-12

arxiv.org/abs/gr-qc/0209042v2

J.Phys.A36:427-442,2003

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

LaTeX2e, 23 pages, 2 Tables. To appear in Journal of Physics A: Mathematical & General

Scientific paper

10.1088/0305-4470/36/2/310

The automorphisms of all 4-dimensional, real Lie Algebras are presented in a
comprehensive way. Their action on the space of $4\times 4$, real, symmetric
and positive definite, matrices, defines equivalence classes which are used for
the invariant characterization of the 4-dimensional homogeneous spaces which
possess an invariant basis.

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