Hyperquaternions: an efficient mathematical formalism for geometry

DOI10.1007/978-3-030-26980-7_13zbMath1458.15041OpenAlexW2968811798MaRDI QIDQ2305214

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

Publication date: 10 March 2020

Full work available at URL: https://doi.org/10.1007/978-3-030-26980-7_13

zbMATH Keywords

quaternionscanonical decompositionPoincaré groupshyperquaternionspseudo-Euclidean rotations

Mathematics Subject Classification ID

Clifford algebras, spinors (15A66) Euclidean analytic geometry (51N20)

Related Items (5)

On factorization of multivectors in Cl(3,0), Cl(1,2) and Cl(0,3), by exponentials and idempotents ⋮ Dual hyperquaternion Poincaré groups ⋮ On factorization of multivectors in Cl(2,1)$$ Cl\left(2,1\right) $$, by exponentials and idempotents ⋮ Hyperquaternion conformal groups ⋮ Quaternion algebra on 4D superfluid quantum space-time. Dirac's ghost fermion fields.

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