Orientation preserving Möbius transformations in \(\mathbb{R}_\infty^4\) and quaternionic determinants

DOI10.1016/J.LAA.2016.05.008zbMath1360.20047OpenAlexW2381557264MaRDI QIDQ290686

Meira Hockman, Carminda Mennen

Publication date: 3 June 2016

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2016.05.008

zbMATH Keywords

Möbius transformationsClifford algebrasgroup generatorsmatrices and determinantsmatrix groups over rings

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Other matrix groups over rings (20H25) Clifford algebras, spinors (15A66) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Geometry of classical groups (51N30) Matrices, determinants in number theory (11C20)

Related Items (4)

The geometry of Gaussian integer continued fractions ⋮ Geodesic Gaussian integer continued fractions ⋮ The Farey octahedron graph, the Poincaré polyhedron theorem and Gaussian integer continued fractions ⋮ Quaternionic Kleinian modular groups and arithmetic hyperbolic orbifolds over the quaternions

Cites Work

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• Simple continued fractions and cutting sequences
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• Farey polytopes and continued fractions associated with discrete hyperbolic groups
• CONTINUED FRACTIONS, MÖBIUS TRANSFORMATIONS AND CLIFFORD ALGEBRAS
• Quaternions and Some Global Properties of Hyperbolic 5-Manifolds
• Moebius transformations and the Poincare distance in the quaternionic setting
• Naive Lie Theory
• Farey Simplices in the Space of Quaternions.
• A Problem of Diophantine Approximation in Quaternions
• Quaternions and Reflections

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