Extending Lasenby's embedding of octonions in space-time algebra \(Cl(1, 3)\), to all three- and four dimensional Clifford geometric algebras \(Cl(p, q)\), \(n = p + q = 3, 4\)
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Publication:6496091
DOI10.1002/MMA.8577MaRDI QIDQ6496091
Publication date: 2 May 2024
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Special relativity (83A05) Clifford algebras, spinors (15A66) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Embedding theorems, universal categories (18B15) Other nonassociative rings and algebras (17Dxx)
Cites Work
- Hyperquaternions: a new tool for physics
- General steerable two-sided Clifford Fourier transform, convolution and mustard convolution
- Three generations, two unbroken gauge symmetries, and one eight-dimensional algebra
- Polar decomposition of complexified quaternions and octonions
- Quaternion Fourier transform on quaternion fields and generalizations
- The Orthogonal 2D Planes Split of Quaternions and Steerable Quaternion Fourier Transformations
- Special relativistic Fourier transformation and convolutions
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