Corpus ID: 116251768

# The Lorentz Group, Noncommutative Space-Time, and Nonlinear Electrodynamics in Majorana-Oppenheimer Formalism

@article{Redkov2011TheLG,
title={The Lorentz Group, Noncommutative Space-Time, and Nonlinear Electrodynamics in Majorana-Oppenheimer Formalism},
author={V. Red'kov and E. Tolkachev},
journal={arXiv: Mathematical Physics},
year={2011}
}
• Published 2011
• Mathematics, Physics
• arXiv: Mathematical Physics
• Non-linear electrodynamics arising in the frames of field theories in non-commutative space-time is examined on the base of the Riemann-Silberstein-Majorana-Oppenheimer formalism. The problem of form-invariance of the non-linear constitutive relations governed by six non-commutative parameters \theta_{kl} \sim {\bf K} = {\bf n} + i {\bf m} is explored in detail on the base of the complex orthogonal group theory SO(3.C). Two Abelian 2-parametric small groups, isomorphic to each other in abstract… CONTINUE READING
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