Clifford algebras, hypercomplex numbers and nonlinear equations in physics

DOI10.7546/GIQ-25-2023-47-72zbMath1521.15016OpenAlexW4391079080MaRDI QIDQ6171254

Ying-Qiu Gu

Publication date: 11 August 2023

Published in: Geometry, Integrability and Quantization (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/geometry-integrability-and-quantization-papers-and-lecture-series/volume-25/issue-none/Clifford-Algebras-Hypercomplex-Numbers-and-Nonlinear-Equations-in-Physics/10.7546/giq-25-2023-47-72.full

zbMATH Keywords

Clifford algebraYang-Mills equationconsistent conditionhypercomplex numberstationary fluid equation

Mathematics Subject Classification ID

Clifford algebras, spinors (15A66) Algebraic systems of matrices (15A30) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Applications of Clifford algebras to physics, etc. (15A67)

Cites Work

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• Applied hypernumbers. Computational concepts
• Space-time geometry and some applications of Clifford algebra in physics
• A note on the representation of Clifford algebras
• On matrix representations of geometric (Clifford) algebras
• The genesis of geometric algebra: a personal retrospective
• Hypernumbers and relativity
• Spinors and multivectors as a unified tool for spacetime geometry and for elementary particle physics
• Hypercomplex signals-a novel extension of the analytic signal to the multidimensional case
• Hypercomplex numbers and roots of algebraic equation

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