GROUP THEORY SYMBOL

GTGenerators

GTGenerators[group]
gives the generators of a certain group.

DetailsDetails

  • 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:
  • GOFastGOFastValueSkips the input validation
  • See: W. Hergert, M. Geilhufe, Group Theory in Solid State Physics and Photonics. Problem Solving with Mathematica, chapter 4.1,2

ExamplesExamplesopen allclose all

Basic Examples  (2)Basic Examples  (2)

First, load the package:

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Calculate the generators of

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Calculate the generators of

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Options  (2)Options  (2)

Neat Examples  (4)Neat Examples  (4)

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