Alternative Decompositions of the Regular Representations of Crystallographic Space Groups Into Band Representations
Abstract
We discuss the decomposition of the regular representation of crystallographic space groups into elementary band representations. This decomposition is in general not unique. These decompositions can be divided in two groups. On the one hand there are so-called generic ones, which exist for any space groups, involving only band representations corresponding to one Wyckoff position. On the other hand additional decompositions may exist under certain circumstances. Various kinds of these so-called alternative decompositions are discussed in terms of typical examples and some general conditions for their existence are presented.
- Publication:
-
Symmetry and Structural Properties of Condensed Matter
- Pub Date:
- April 2001
- DOI:
- 10.1142/9789812811479_0041
- Bibcode:
- 2001sspc.conf..358Z