GROUP THEORY SYMBOL
GTSGCosetRepresentative[space group, subgroup, basis]
determines a coset representative for a left coset decomposition of the factor group G/T (G being a space group, T the group of pure lattice translations) into a normal sub group of index 2 or 3.
- GTSGCosetRepresentative is mainly needed within the commands GTSGGetIreps and GTSGCharacterTable. Here the underlying algorithm is based on an argument of Zak, stating that every space group contains an invariant sub group of index 2 or 3.
- J. Zak, J. Math. Phys, 1, 165, (1960)
- W. Hergert, M. Geilhufe, Group Theory in Solid State Physics and Photonics. Problem Solving with Mathematica, chapter 6.