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Keywords

Generalized Euler-Rodrigues formula, Minkowski space, Lorentz group, SL(2, C), SO_0(3, 1)

Abstract

Elementary methods are used to examine some nontrivial mathematical issues underpinning the Lorentz transformation. Its eigen-system is characterized through the exponential of a $G$-skew symmetric matrix, underlining its unconnectedness at one of its extremes (the hyper-singular case). A different yet equivalent angle is presented through Pauli coding which reveals the connection between the hyper-singular case and the shear map.

abs_vol31_pp794-833.pdf (26 kB)
Abstract

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