Proper subrepresentation

This article gives a basic definition in the following area: linear representation theory
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This article describes a notion of representation, or a group action on a certain kind of object.
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Definition

A subrepresentation $W$ of a representation $V$ is called proper if $W\neq 0$ and $W\neq V$.

Related concepts

A representation is called irreducible if it has no proper subrepresentations.