Einstein gyrogroup as a B-loop

DOI10.1016/S0034-4877(15)30019-7zbMath1329.83032OpenAlexW1193659461MaRDI QIDQ893291

Keng Wiboonton, Teerapong Suksumran

Publication date: 13 November 2015

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(15)30019-7

zbMATH Keywords

gyrogroupEinstein velocity additionB-loopClifford algebra formalism

Mathematics Subject Classification ID

Special relativity (83A05) General properties and structure of complex Lie groups (22E10) Loops, quasigroups (20N05) Clifford algebras, spinors (15A66)

Related Items (5)

The Algebra of Gyrogroups: Cayley’s Theorem, Lagrange’s Theorem, and Isomorphism Theorems ⋮ The Isometry Group of n-Dimensional Einstein Gyrogroup ⋮ An Inequality Related to Möbius Transformations ⋮ Involutive groups, unique 2-divisibility, and related gyrogroup structures ⋮ Gyrogroup actions: a generalization of group actions

Cites Work

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• From Möbius to Gyrogroups
• Gyrations: The Missing Link Between Classical Mechanics with Its Underlying Euclidean Geometry and Relativistic Mechanics with Its Underlying Hyperbolic Geometry
• Gyrogroups in Projective Hyperbolic Clifford Analysis

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