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