Involutions in dual split-quaternions

DOI10.1007/s00006-015-0624-zzbMath1380.30035OpenAlexW2258775493MaRDI QIDQ297572

Murat Bekar, Yusuf Yayli

Publication date: 27 June 2016

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

Full work available at URL: https://doi.org/10.1007/s00006-015-0624-z

zbMATH Keywords

involutionsanti-involutionsdual split-quaternionsreal-quaternionsrigid-body (screw) motions

Mathematics Subject Classification ID

Kinematics of a rigid body (70B10) Free motion of a rigid body (70E15) Functions of hypercomplex variables and generalized variables (30G35) Non-Euclidean differential geometry (53A35) Differential line geometry (53A25) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (3)

Geometric algebra of singular ruled surfaces ⋮ Quaternionic shape operator ⋮ Hyper-dual split quaternions and rigid body motion

Cites Work

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• Involutions of complexified quaternions and split quaternions
• Dual split quaternions and screw motion in 3-dimensional Lorentzian space
• Dual split quaternions and screw motion in Minkowski 3-space
• Timelike surfaces of constant mean curvature in Minkowski 3-space
• Quadratic algebras, Clifford algebras, and arithmetic Witt groups
• Dual quaternion involutions and anti-involutions
• Quaternion involutions and anti-involutions
• Computations with Clifford and Grassmann algebras
• On the transposition anti-involution in real Clifford algebras III: the automorphism group of the transposition scalar product on spinor spaces
• On the transposition anti-involution in real Clifford algebras I: the transposition map
• On the transposition anti-involution in real Clifford algebras II: stabilizer groups of primitive idempotents
• The E. Study Maps of Circles on Dual Hyperbolic and Lorentzian Unit Spheres <i>H</i>²₀ and <i>S</i>²₁

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