Systematization of 2D Representations Using Point Groups as an Example

摘要

All types of mathematically irreducible (three types) and physically irreducible (three types) 2D representations of point symmetry groups (crystalline and magnetic classes) are enumerated. Tables of transformations of the base functions and their pair products for all types are compiled. It is shown by two examples that 2D representations of the space groups obey the same systematization.