Abstract
The point subgroups of index 2 of hypercubic group and their irreducible representations are obtained. The elements of the hypercubic group are represented as rotation about two axis. Possible physical meaning of hypercubic group for electron states is investigated. The reduction relations for the representations of orthogonal group O 4 on hypercubic group are obtained. These relations are used for additional classification of electron states in crystals.
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Kustov, E.F., Yarzhemsky, V.G. & Nefedov, V.I. Subgroups of Hypercubic Group and Many Electron States in Crystals. Int J Theor Phys 45, 2305–2318 (2006). https://doi.org/10.1007/s10773-006-9198-9
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DOI: https://doi.org/10.1007/s10773-006-9198-9