GroupTheory`
GroupTheory`

GTCharacters

GTCharacters[matrix representation]

gives the character of a representation matrix or the characters of a list of representation matrices.

Details and Options

  • The characters of a matrix representation of a group are the traces of the corresponding matrices.
  • The following options can be given:
  • GOClasses FalseDecides, if the characters are calculated for all classes.
  • See: W. Hergert, M. Geilhufe, Group Theory in Solid State Physics and Photonics. Problem Solving with Mathematica.

Examples

open allclose all

Basic Examples  (1)

First load the package:

The group will be installed.

The rotation matrices form a matrix representation of .

The characters of all symmetry elements are calculated.

The argument can be a single matrix.

Options  (1)

GOClasses  (1)

The group has 10 classes. The characters of all symmetry elements in a class are the same.