Exponential and logarithm of multivector in low-dimensional (n = p + q < 3) Clifford algebras

DOI10.15388/namc.2022.27.29528zbMath1502.15016arXiv2204.04896OpenAlexW4308014733WikidataQ115513881 ScholiaQ115513881MaRDI QIDQ5046698

Arturas Acus, A. Dargys

Publication date: 9 November 2022

Published in: Nonlinear Analysis: Modelling and Control (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.04896

zbMATH Keywords

quaternionsClifford geometric algebraClifford numbers

Mathematics Subject Classification ID

Clifford algebras, spinors (15A66) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Matrix exponential and similar functions of matrices (15A16)

Related Items (2)

Calculation of the exponential in arbitrary \(Cl_{p,q}\) Clifford algebra ⋮ Logarithm of multivector in real 3D Clifford algebras

Cites Work

• Geometric algebra with applications in engineering
• The roots of a split quaternion
• Elementary geometry in hyperbolic space
• On the roots of coquaternions
• Niven's algorithm applied to the roots of the companion polynomial over \(\mathbb {R}^4\) algebras
• Square root of a multivector in 3D Clifford algebras
• A Geometric Algebra Invitation to Space-Time Physics, Robotics and Molecular Geometry
• Real Quaternionic Calculus Handbook
• New Foundations in Mathematics
• Exponentials of general multivector in 3D Clifford algebras
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