GroupTheory`
GroupTheory`

GTDirectProductChars

GTDirectProductChars[characters1,characters2]

gives the character system of a direct product representation from the character systems of two given representations.

Details and Options

  • All elements in the same class have the same character.
  • The character system is given as a vector containing the character of each class.
  • For two unitary representations and , the character system of the direct product representation is given by .
  • See: W. Hergert, M. Geilhufe, Group Theory in Solid State Physics and Photonics. Problem Solving with Mathematica, chapter 5.5

Examples

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Basic Examples  (1)

First, load the package:

Then run the examples:

Applications  (1)

The characters of the direct product representation of the point group are calculated. First, the point group is installed and the character table is calculated.

The characters of and are extracted.