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.