GROUP THEORY SYMBOL

GTSymmetrizedProductChars

GTSymmetrizedProductChars[character table,number Irep,n,sign]
gives the characters of the symmetrized [T]^(n ) or antisymmetrized {T}^n n-th power of the irreducible representation of a group , represented by its character table.

DetailsDetails

  • The n-th power of an inrreducible representation of a group will be considered. The character of the symmetrized product and of the antisymmetrized product can be calculated directly from the character system of . Such product representations are used in group theoretical considerations to Landau’s theory of phase transitions.
  • The following options can be given:
  • GOVerboseTrueControls the output of additional information
  • See: W. Hergert, M. Geilhufe, Group Theory in Solid State Physics and Photonics. Problem Solving with Mathematica.
  • G. J. Ljubarski, Anwendungen der Gruppentheorie in der Physik. VEB Deutscher Verlag der Wissenschaften, Berlin 1962.
  • Yu. A. Izyumov and V. N. Syromyatnikov, Phase Transitions and Crystal Symmetry. Kluwer Academic Publishers, Dordrecht 1990.

ExamplesExamplesopen allclose all

Basic Examples  (1)Basic Examples  (1)

First load the package:

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Install a group and calculate the character table.

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Calculate the symmetric and antisymmetric 2nd power of the two-dimensional representation of .

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Options  (1)Options  (1)

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