Stanislav SPICHAK
Department of Applied Research,
Institute of Mathematics of NAS of Ukraine,
3 Tereshchenkivs'ka Str.,
01601 Kyiv-4, UKRAINE
E-mail: spichak@imath.kiev.ua

Invariance of Maxwell equations under nonlinear representations of the Poincare algebra

Abstract:
It is shown that the Maxwell equations are conditionally-invariant with respect to two nonlinear representations of the Poincare algebra. The corresponding groups of finite transformations are consructed. A nonlinear generalization of the Maxwell equations, which is invariant under the above-mentioned nonlinear representations of the Poincare algebra, is found.