Affine extensions of loops.

DOI10.1007/BF02941531zbMath1136.22300arXiv1506.08664OpenAlexW2962689172MaRDI QIDQ1766176

Ágota Figula, Karl Strambach

Publication date: 28 February 2005

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.08664

Mathematics Subject Classification ID

Loops, quasigroups (20N05) Other topological algebraic systems and their representations (22A30) Euclidean geometries (general) and generalizations (51M05) General properties and structure of other Lie groups (22E20) Geometry of classical groups (51N30) Orthogonal and unitary groups in metric geometry (51F25)

Related Items (4)

Our friend and mathematician Karl Strambach ⋮ Loops which are semidirect products of groups. ⋮ Extensions and tangent prolongations of differentiable loops ⋮ Nuclear properties of loop extensions

Cites Work

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• \(K\)-loops in the Minkowski world over an ordered field
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• Point-reflection geometries, geometric K-loops and unitary geometries
• Theory of K-loops
• Geometry of kinematic \(K\)-loops
• Tabellen zu den einfachen Lie Gruppen und ihren Darstellungen
• 3-dimensional Bol loops as sections in non-solvable Lie groups
• 3-dimensional loops on non-solvable reductive spaces
• Loops in group theory and Lie theory

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