GroupTheory`
GroupTheory`

GTGenerators

GTGenerators[group]

gives the generators of a certain group.

Details and Options

  • Suppose a subset of a group with elements ,..., is given. The elements ,..., are said to be the generators of the group , if every element can be expressed as a combination of ,...,.
  • The choice of the generators for a group is not unique.
  • The group can contain symbols, matrices, quaternions or Euler angles (compare GTEulerAnglesQ, GTQuaternionQ and GTSymbolQ).
  • The following option can be given:
  • GOFast GOFastValueSkips the input validation
  • See: W. Hergert, M. Geilhufe, Group Theory in Solid State Physics and Photonics. Problem Solving with Mathematica, chapter 4.1,2

Examples

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Basic Examples  (2)

First, load the package:

Calculate the generators of

Calculate the generators of

Options  (2)

GOFast  (2)

First, load the package:

The evaluation time can be decreased, using GOFastTrue.

If GOFastFalse is used, it will be checked if the input is a group.

Neat Examples  (4)