Difference between revisions of "Irreducible linear representation"

From Groupprops
Jump to: navigation, search
(Relation with other properties)
m (3 revisions)
(No difference)

Revision as of 23:45, 7 May 2008

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

Stronger properties

Weaker properties