Published January 17, 2003 | Version v1
Journal article

Automorphisms of real four-dimensional Lie algebras and the invariant characterization of homogeneous 4-spaces

  • 1. Nuclear and Particle Physics Section, Physics Department, University of Athens, Panepistimioupolis, Ilisia GR 157-71, Athens (Greece)
  • 2. Department of Financial and Management Engineering, University of the Aegean, 31, Fostini Str. 82100, Chios (Greece)

Description

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

Availability note (English)

Available online at http://stacks.iop.org/0305-4470/36/427/a30210.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/

Additional details

Identifiers

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and General
Journal Volume
36
Journal Issue
2
Journal Page Range
p. 427-441
ISSN
0305-4470
CODEN
JPHAC5

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
34020166
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
ALGEBRA; FOUR-DIMENSIONAL CALCULATIONS; GROUP THEORY; LIE GROUPS; MATHEMATICAL SPACE; MATRICES
Descriptors DEC
MATHEMATICS; SPACE; SYMMETRY GROUPS