The abstract complex Lorentz transformation group with real metric. II. The invariance group of the form ‖t‖2−∥x∥2

DOI10.1063/1.530576zbMath0830.32014OpenAlexW2083408759MaRDI QIDQ4300183

Abraham A. Ungar

Publication date: 9 August 1994

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.530576

zbMATH Keywords

gyrationcomplex boostcomplex Lorentz groupnormalized event

Mathematics Subject Classification ID

Special relativity (83A05) Complex Lie groups, group actions on complex spaces (32M05)

Related Items

Abstract space–times and their Lorentz groups, Gyrosemidirect product structure of bounded symmetric domains, Equivalence of two gyrogroup structures on unit balls, Complex boosts: a Hermitian Clifford algebra approach, Hyperbolic trigonometry in the Einstein relativistic velocity model of hyperbolic geometry

Cites Work

• Weakly associative groups
• Dirichlet polyhedra for dihedral groups acting on complex hyperbolic space
• On generalized cocycle equations
• Biholomorphic maps in Hilbert space have a fixed point
• The abstract Lorentz transformation group
• The abstract complex Lorentz transformation group with real metric. I. Special relativity formalism to deal with the holomorphic automorphism group of the unit ball in any complex Hilbert space
• Complex Lorentz Group with a Real Metric: Group Structure