K-loops, gyrogroups and symmetric spaces

DOI10.1007/BF03322091zbMath0903.22004MaRDI QIDQ1126965

Werner Krammer, Helmuth K. Urbantke

Publication date: 25 October 1998

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

zbMATH Keywords

representationspecial relativityLorentz grouphomogeneous symmetric spacesK-Loops

Mathematics Subject Classification ID

Special relativity (83A05) Structure and representation of the Lorentz group (22E43) Loops, quasigroups (20N05) Topological groupoids (including differentiable and Lie groupoids) (22A22)

Related Items (8)

Cardinal invariants in the quotient spaces of weakly topological groups ⋮ The Algebra of Gyrogroups: Cayley’s Theorem, Lagrange’s Theorem, and Isomorphism Theorems ⋮ Bol loops as sections in semi-simple Lie groups of small dimension ⋮ The first-countability in the quotient spaces of topological gyrogroups ⋮ Uniformities on strongly topological gyrogroups ⋮ Hyperbolic trigonometry in the Einstein relativistic velocity model of hyperbolic geometry ⋮ Extensions of some topological properties in topological gyrogroups ⋮ Loops and semidirect products

Cites Work

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• The relativistic noncommutative nonassociative group of velocities and the Thomas rotation
• Groups with an involutory antiautomorphism and \(K\)-loops; application to space-time-world and hyperbolic geometry. I
• Weakly associative groups
• Geometry of homogeneous Lie loops
• Gyrosemidirect product structure of bounded symmetric domains
• On loops of odd order
• Inner mappings of Bruck loops

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