Equivalence of two gyrogroup structures on unit balls

DOI10.1007/BF03322262zbMath0840.20071OpenAlexW2079909448MaRDI QIDQ1904443

Yuching You, Abraham A. Ungar

Publication date: 19 June 1996

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03322262

zbMATH Keywords

homomorphismsgyrogroups\(K\)-loopsquasidirect productsBol identityBruck-loops\(n\)-dimensional Minkowski worldLorentzian group

Mathematics Subject Classification ID

Special relativity (83A05) Loops, quasigroups (20N05) Applications of local differential geometry to the sciences (53B50)

Related Items (2)

Abstract space–times and their Lorentz groups ⋮ Hyperbolic trigonometry in the Einstein relativistic velocity model of hyperbolic geometry

Cites Work

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• The abstract Lorentz transformation group
• ZT-subgroups of sharply 3-transitive groups
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• 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
• Abstract space–times and their Lorentz groups

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