Lorentz transformation from an elementary point of view

DOI10.13001/1081-3810.3302zbMath1356.15019arXiv1611.06379OpenAlexW3106238484MaRDI QIDQ2956736

Jerzy Szulga, Arkadiusz Jadczyk

Publication date: 19 January 2017

Published in: The Electronic Journal of Linear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.06379

zbMATH Keywords

Minkowski spaceskew symmetric matrixLorentz transformationexponentialLorentz groupeigensystem\(\mathrm{SL}(2,\mathbb C)\)\(\mathrm{SO}_0(3, 1)\)generalized Euler-Rodrigues formulahypersingular casePauli coding

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57) Applications of Lie (super)algebras to physics, etc. (17B81) Applications of Lie groups to the sciences; explicit representations (22E70) Matrix exponential and similar functions of matrices (15A16)

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The quartet of eigenvectors for quaternionic Lorentz transformation

Cites Work

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• The exponential map for the unitary group SU(2,2)
• Einstein in Matrix Form
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