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Induced Representations

  • Ambar N. Sengupta
Chapter

Abstract

A representation of a group G produces, by restriction, a representation of any subgroup H. Remarkably, there is a procedure that runs in the opposite direction, producing a representation of G from a representation of H. This method, introduced by Frobenius [33], is called induction, and is a powerful technique for constructing and analyzing the structure of representations.

Keywords

Irreducible Representation Finite Group Commutative Ring Number Field Left Coset 
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.

Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  1. 1.Department of MathematicsLouisiana State UniversityBaton RougeUSA

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