A different polar representation for generalized and generalized dual quaternions

DOI10.1007/s00006-018-0895-2zbMath1446.16019OpenAlexW2886295489WikidataQ129383929 ScholiaQ129383929MaRDI QIDQ1990952

Yasemin Yıldırım, Erhan Ata

Publication date: 26 October 2018

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

Full work available at URL: https://doi.org/10.1007/s00006-018-0895-2

zbMATH Keywords

rotationpolar formscrew operatorgeneralized dual quaterniongeneralized quaternion

Mathematics Subject Classification ID

Kinematics of a rigid body (70B10) Free motion of a rigid body (70E15) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05)

Related Items (2)

Matrices over Quaternion Algebras ⋮ Spherical kinematics in 3-dimensional generalized space

Cites Work

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• Fibonacci generalized quaternions
• Quaternion polar representation with a complex modulus and complex argument inspired by the Cayley-Dickson form.
• Timelike surfaces of constant mean curvature in Minkowski 3-space
• Clifford algebras and geometric algebra
• A new polar representation for split and dual split quaternions
• De Moivre's formula for quaternions
• Euler's formula and de Moivre's formula for quaternions
• Rotations with unit time-like quaternions in Minkowski 3-space
• On the properties of quasi-quaternion Algebra
• Generalized quaternions and their algebraic properties
• SPLIT QUATERNIONS AND ROTATIONS IN SEMI EUCLIDEAN SPACE E⁴₂

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