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2018 Lorentz-Invariant Second-Order Tensors and an Irreducible Set of Matrices
Mayeul Arminjon
J. Geom. Symmetry Phys. 50(none): 1-10 (2018). DOI: 10.7546/jgsp-50-2018-1-10

Abstract

We prove that, up to multiplication by a scalar, the Minkowski metric tensor is the only second-order tensor that is Lorentz-invariant. To prove this, we show that a specific set of three $4\times 4$ matrices, made of two rotation matrices plus a Lorentz boost, is irreducible.

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Mayeul Arminjon. "Lorentz-Invariant Second-Order Tensors and an Irreducible Set of Matrices." J. Geom. Symmetry Phys. 50 1 - 10, 2018. https://doi.org/10.7546/jgsp-50-2018-1-10

Information

Published: 2018
First available in Project Euclid: 26 January 2019

zbMATH: 07063857
MathSciNet: MR3929482
Digital Object Identifier: 10.7546/jgsp-50-2018-1-10

Rights: Copyright © 2018 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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