GroupTheory`
GroupTheory`

GTCenter

GTCenter[group]

gives the center of a group.

Details and Options

  • The center of a group is the subset with all elements satisfying the property for all .
  • The elements of the center of a group are self-adjoint in .
  • The following option can be given:
  • GOFast FalseSkips the input validation
  • See: W. Hergert, M. Geilhufe, Group Theory in Solid State Physics and Photonics. Problem Solving with Mathematica, chapter 3.2.1.

Examples

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Basic Examples  (1)

First, load the package:

As an example, we calculate the center of the point group .

Options  (2)

GOFast  (2)

Since GTCenter is slow for large groups, you won't save much using GOFastTrue.

If GOFastFalse is used, a check of the input will be performed.