Session IV — Crystal Groups and Their Representations

Group Theoretical Methods in Physics

Volume 180 of the series Lecture Notes in Physics pp 292-301

Date:

The structure of space — Groups'unitary representations

  • Louis MichelAffiliated withI.H.E.S.
  • , Jan MozrymasAffiliated withInstitute of Theoretical Physics, University of Wrocław

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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.