GroupTheory`
GroupTheory`

GTInverseElement

GTInverseElement[symmetry element]

gives the inverse element of a certain symmetry element.

Details and Options

  • Due to the four group axioms, for each element there exists an inverse element which is also contained in .
  • The multiplication of both elements gives the identity element .
  • The inverse element of an element is unique.
  • See: W. Hergert, M. Geilhufe, Group Theory in Solid State Physics and Photonics. Problem Solving with Mathematica, chapter 3.1.

Examples

Basic Examples  (4)

First, load the package:

Calculate the inverse of

The inverse Element can be found also in other representations.