Difference between revisions of "Irreducible linear representation"

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{{linear representation property}}
 
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{{basicdef in|linear representation theory}}
 
==Definition==
 
==Definition==
  

Revision as of 06:45, 6 September 2007

This article describes a property to be evaluated for a linear representation of a group, i.e. a homomorphism from the group to the general linear group of a vector space over a field


This article gives a basic definition in the following area: linear representation theory
View other basic definitions in linear representation theory |View terms related to linear representation theory |View facts related to linear representation theory

Definition

Symbol-free definition

A linear representation of a group is said to be irreducible if there is no proper nonzero invariant subspace for it.

Relation with other properties

Weaker properties