Completely reducible linear representation

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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 completely reducible if it can be expressed as a direct sum of irreducible linear representations.

Relation with other properties

Stronger properties