Every group has a regular representation that can be constructed solely from knowledge of the group multiplication table. It has two miraculous properties. First, it allows us to determine the total number of irreducible representations that the group possesses. Second, it allows us to construct the character table of the group. We will prove and demonstrate the first property in this chapter, saving the second property for Chapter 48 (MakeCharacterTable).
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© 2009 Springer Science+Business Media, LLC
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McClain, W.M. (2009). The regular representation. In: Symmetry Theory in Molecular Physics with Mathematica. Springer, New York, NY. https://doi.org/10.1007/b13137_36
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DOI: https://doi.org/10.1007/b13137_36
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