Involutions of complexified quaternions and split quaternions

DOI10.1007/s00006-012-0376-yzbMath1272.11124OpenAlexW2089101795MaRDI QIDQ353027

Murat Bekar, Yusuf Yayli

Publication date: 5 July 2013

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-012-0376-y

zbMATH Keywords

involutionsanti-involutionsbiquaternions (complexified quaternions)real quaternionssplit quaternions

Mathematics Subject Classification ID

Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Related Items (5)

Lie algebra of unit tangent bundle ⋮ Involutions in dual split-quaternions ⋮ Theories and applications associated with biquaternion linear canonical transform ⋮ Dynamics of the coquaternionic maps \(x^2 + \mathsf{b}x\) ⋮ Dual quaternion involutions and anti-involutions

Cites Work

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• Fundamental representations and algebraic properties of biquaternions or complexified quaternions
• Biquaternion (complexified quaternion) roots of \(- 1\)
• Timelike surfaces of constant mean curvature in Minkowski 3-space
• Quaternion involutions and anti-involutions
• Quaternions and Reflections

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