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:
-
GOFast GOFastValue Skips the input validation - See: W. Hergert, M. Geilhufe, Group Theory in Solid State Physics and Photonics. Problem Solving with Mathematica, chapter 5.1.