The exponential mapping in Clifford algebras

DOI10.1063/1.526454zbMath0563.22014OpenAlexW1964754642MaRDI QIDQ3676376

John Froelich, Nikos A. Salingaros

Publication date: 1984

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.526454

zbMATH Keywords

Baker-Campbell-Hausdorff formulaformal power seriesLorentz groupquaternion and dihedral algebras

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Structure and representation of the Lorentz group (22E43) Clifford algebras, spinors (15A66)

Related Items (4)

Recursion formulas for the Lie integral ⋮ Exponentiation of the spinor representation of the Lorentz group ⋮ Clifford structures on manifolds ⋮ Recursion relations for homogeneous terms of a convergent series of the logarithm of a multiplicative integral on Lie groups

Cites Work

• The formal power series for \(\log\,e^x e^y\)
• An elementary proof of the Baker-Campbell-Hausdorff-Dynkin formula
• On relations between commutators
• Relativistic motion of a charged particle, the Lorentz group, and the Thomas precession
• Realization, extension, and classification of certain physically important groups and algebras
• Algebras with three anticommuting elements. I. Spinors and quaternions
• Properties of Higher-Order Commutator Products and the Baker-Hausdorff Formula
• On the exponential solution of differential equations for a linear operator

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