GROUP THEORY SYMBOL

GTRegularRepresentation

GTRegularRepresentation[group]
gives the regular representation of a group.

DetailsDetails

  • Consider a finite group with elements ,..., . The matrix elements of the -dimensional representation matrix are given by
  • .
  • For the character of each representation matrix it holds,
  • .
  • Let be a group with irreducible representations ,...,. Each irreducible representation occurs times within the regular representation , where is the dimension of the irreducible representation .
  • 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 5.1.

ExamplesExamplesopen allclose all

Basic Examples  (1)Basic Examples  (1)

First, load the package:

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As an example, the regular representation of the point group is calculated.

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Options  (2)Options  (2)

Applications  (1)Applications  (1)

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