Nonlinear representations for Poincare and Galilei algebras and nonlinear equations for electromagnetic fields

Details Nonlinear representations for Poincare and Galilei algebras and nonlinear equations for electromagnetic fields Nonlinear representations for Poincare and Galilei algebras and nonlinear equations for electromagnetic fields

2002-07-18

arxiv.org/abs/math-ph/0207024v1

J.Nonlin.Math.Phys. 2 (1994) 210-221

Physics

Mathematical Physics

LaTeX, 10 pages, some misprints of published version corrected

Scientific paper

We construct nonlinear representations of the Poincare, Galilei, and
conformal algebras on a set of the vector-functions $\Psi =(\vec E, \vec H)$. A
nonlinear complex equation of Euler type for the electromagnetic field is
proposed. The invariance algebra of this equation is found.

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