Irreducible linear representation

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

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

• Completely reducible linear representation
• Indecomposable linear representation
• Isotypical linear representation