The structure of space — Groups'unitary representations

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Abstract

For systems with a symmetry group G, the description of physical phenomena corresponding to a representation of G, depends only on the image of this representation. The classification of the images of the unirreps (unitary irreducible representations) of the little space groups Gk is remarkably simple. The nearly four thousands inequivalent unirreps corresponding to high symmetry wave vectors k have only 37 inequivalent images.