GTGetIrep

GTGetIrep[group, index, (character table)] gives the representation matrices of an irreducible representation.

Details and Options

  • The following options can be given:
  • GOFast FalseOption for input validation
    GOMethod "Cornwell"Method for generating irreducible representations
    GOlmax 15Angular momentum cut-off for Cornwell method
  • Possible methods are
  • "Flodmark"Projection scheme based on the regular representation (S. Flodmark, E. Blokker, International Journal of Quantum Chemistry,1967, 1, 703-711).
    "Cornwell" Projection scheme based on angular momentum representations (J. Cornwell, Academic Press, 1984)
    "Induction"Induction method
  • See: W. Hergert, M. Geilhufe, Group Theory in Solid State Physics and Photonics. Problem Solving with Mathematica, chapter 5.2

Examples

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Basic Examples  (2)

Without character table  (1)

With character table  (1)

Options  (6)

GOFast  (1)

Input validation  (1)

GOMethod  (4)

Note that irreducible representations obtained by different methods are similar, but not necessarily identical .

Cornwell  (1)

Flodmark  (1)

Induction  (1)

GOlmax  (1)

Possible Issues  (2)

Wrong index  (1)

Wrong method name  (1)

Tech Notes
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  • Working with characters and irreducible representations
    • ▪
  • Representation matrices and projection operators