Hyperquaternions: a new tool for physics

DOI10.1007/S00006-018-0881-8zbMath1402.15018OpenAlexW2809688091MaRDI QIDQ1668609

Patrick R. Girard, Robert Goutte, Philippe Delachartre, Patrick Clarysse, Romaric Pujol

Publication date: 29 August 2018

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

Full work available at URL: https://doi.org/10.1007/s00006-018-0881-8

zbMATH Keywords

Clifford algebrasquaternionshyper-quaternions

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Clifford algebras, spinors (15A66) Linear algebraic groups over the reals, the complexes, the quaternions (20G20)

Related Items (8)

On factorization of multivectors in Cl(3,0), Cl(1,2) and Cl(0,3), by exponentials and idempotents ⋮ Representation of solutions of Lamé-Navier system ⋮ Dual hyperquaternion Poincaré groups ⋮ Applications of endomorphisms on Clifford algebras to \((\alpha, \beta)\)-monogenic functions and isotonic functions ⋮ On factorization of multivectors in Cl(2,1)$$ Cl\left(2,1\right) $$, by exponentials and idempotents ⋮ Some New Aspects in Hypercomplex Analysis ⋮ Hyperquaternion conformal groups ⋮ Quaternion algebra on 4D superfluid quantum space-time. Dirac's ghost fermion fields.

Cites Work

• Clifford algebras in symplectic geometry and quantum mechanics
• Quaternion typification of Clifford algebra elements
• Symplectic, orthogonal and linear Lie groups in Clifford algebra
• Einstein's equations and Clifford algebra
• Fundaments of quaternionic Clifford analysis. I: Quaternionic structure
• The structure of the Clifford algebra
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