Conjugacy classes of involutions in the Lorentz group \(\Omega(V)\) and in \(\text{SO}(V)\)

DOI10.1016/J.LAA.2003.10.014zbMath1057.15013OpenAlexW1992351734MaRDI QIDQ1826835

Erich W. Ellers

Publication date: 6 August 2004

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2003.10.014

zbMATH Keywords

Lorentz groupInvolutionOrthogonal groupBireflectional involutionCommutator subgroupConjugacy classesConjugate involutionSpecial linear group

Mathematics Subject Classification ID

Factorization of matrices (15A23) Other geometric groups, including crystallographic groups (20H15)

Related Items (1)

Reversible maps in the group of quaternionic Möbius transformations

Cites Work

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• An algebraic characterization of vacuum states in Minkowski space. III: Reflection maps
• Products of involutions in \(O^ +(V)\)
• Two-graphs and doubly transitive groups
• Decomposition of matrices into simple involutions
• Products of involutions
• Products of involutions in simple Chevalley groups
• GEOMETRIC MODULAR ACTION AND SPACETIME SYMMETRY GROUPS

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