Hyperbolic loops over octaves and \(K\)-loops

DOI10.1007/BF03323414zbMath0817.20071MaRDI QIDQ1329596

Angelika Konrad

Publication date: 22 September 1994

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

zbMATH Keywords

Hermitian matricesCayley numbersquaternionsalternative algebra\(K\)-loopseuclidean field

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Loops, quasigroups (20N05) Algebraic systems of matrices (15A30) Reflection groups, reflection geometries (51F15)

Related Items

\(K\)-loops from classical groups over ordered fields ⋮ Affine extensions of loops.

Cites Work

• Groups with an involutory antiautomorphism and \(K\)-loops; application to space-time-world and hyperbolic geometry. I
• Examples of finite and infinite \(K\)-loops
• Euklidische Körper und euklidische Hüllen von Körpern.
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