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Representations of a Group II

Chapter
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Part of the Springer Series in Solid-State Sciences book series (SSSOL, volume 78)

Abstract

In this chapter, we discuss how to construct irreducible representations of a group from the known representations of its invariant subgroup. This problem reduces to the construction of irreducible ray representations with an appropriate factor system. The treatment will be most easily understood by working through it for some point group. The representation theory for space groups is a typical application of the scheme developed in this chapter.

Keywords

Irreducible Representation Brillouin Zone Point Group Factor System Vector Representation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 5.1
    The following paper gives a slightly different treatment: W. G. Harter: J. Math. Phys. 10,739 (1969)MathSciNetADSzbMATHCrossRefGoogle Scholar
  2. 5.2
    T. Janssen: Crystallographic Groups (North-Holland, Amsterdam 1973) pp. 243–254Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1990

Authors and Affiliations

  1. 1.Japan Women’s UniversityBunkyo-ku, Tokyo 112Japan
  2. 2.Department of Physics, School of Science and TechnologyMeiji UniversityTama-ku, Kawasaki 214Japan

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