Symmetry analysis of conductive antiferromagnetic materials CuMnAs, Mn$_2$Au

Magnetic structures and their interaction with spin-polarized currents in conducting antiferromagnets are considered using the example of CuMnAs and Mn$_2$Au. Within the framework of the group theoretical approach, a classification of the magnetic order parameters of these crystals was carried out according to the irreducible representations of the space symmetry groups D$^7_{4h}$ and D$^{17}_{4h}$. Invariant combinations of order parameters are obtained that determine the energy of interaction of spin currents with the antiferromagnetism vector.