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}
}

V. Red'kov, E. Tolkachev

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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