GroupTheory`
GroupTheory`

GTConjugateElement

GTConjugateElement[T,X]

gives the conjugate element .

Details and Options

  • Two elements and of a group are said to be "conjugated" to each other if there exists an element such that = .
  • If is conjugated to then is conjugated to .
  • If and are both conjugated to then is conjugated to .
  • See: W. Hergert, M. Geilhufe, Group Theory in Solid State Physics and Photonics. Problem Solving with Mathematica, chapter 3.2.1

Examples

Basic Examples  (1)

First, load the package:

We calculate the conjugate element of with respect to :