Formulation

The following subpages gives formulation of irreducible representations (irreps) of space groups and conventions in spgrep. We recommend Refs. [BC09], [ITO96] and [EBW08] as general references.

Subpages

• Irreducible representation
• Algorithm for enumerating irreps
• Symmetry-adapted basis

References

[BC09]

Christopher Bradley and Arthur P Cracknell. The mathematical theory of symmetry in solids. Oxford Classic Texts in the Physical Sciences. Oxford University Press, London, England, December 2009.

[EBW08]

Michael El-Batanouny and Frederick Wooten. Symmetry and condensed matter physics: a computational approach. Cambridge University Press, 2008.

[ITO96]

Teturo Inui, Yukito Tanabe, and Yositaka Onodera. Group theory and its applications in physics. Springer Series in Solid-State Sciences. Springer, Berlin, Germany, March 1996.