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The regular representation

  • William Martin McClainEmail author
Chapter

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).

Keywords

Irreducible Representation Regular Representation Multiplication Table Character Table Symmetry Theory 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Supplementary material

Copyright information

© Springer Science+Business Media, LLC 2009

Authors and Affiliations

  1. 1.Department of ChemistryWayne State UniversityDetroitUSA

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