ON A GROUP-APPROACH TO STUDYING THE EINSTEIN AND MAXWELL EQUATIONS

Based on the classical problem for decomposition of the tensor product of representations into irreducible components, which is considered i n the elementary representation theory for orthogonal groups, a partia l classification of the Einstein equations is carried out. A new class of Maxwell equations for relativistic electrodynamics is singled out and studied. Pointwise-irreducible decompositions for the energy-momen tum and electromagnetic field tensors are obtained and a physical inte rpretation of the decomposition components is given.