Technical Reports

A Note on the Regular Representation

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This entry was posted on 2/5/2007 8:20 AM and is filed under Algebra.

Author: Peter M. Maurer

EMail: Peter_Maurer@Baylor.edu

Abstract:

A quick note to explain the regular representation of a group, as opposed to the standard representation. It is well known that any group can be viewed as a set of permutations. Multiplying every element of a group by the same thing permutes the elements of the group. This note shows how that fact is used to create the regular representation. This is explained -- quite badly -- in many different books. This note is meant as a clarification.

Date: 2/5/07

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