GROUP THEORY SYMBOL

GTInverseElement

GTInverseElement[symmetry element]
gives the inverse element of a certain symmetry element.

DetailsDetails

  • 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.

ExamplesExamplesopen allclose all

Basic Examples  (4)Basic Examples  (4)

First, load the package:

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Calculate the inverse of

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