[[Abstract algebra MOC]]
# Representation theory MOC

**Representation theory** studies [[Abstract algebra MOC|algebraic structures]] by representing their elements as [[Linear map|linear maps]] of [[vector space|vector spaces]].
In general, a [[Representation]] is a [[Functor]] $\Gamma : G \to \Vect_{\mathbb{K}}$.

![[Representation#Represented object]]

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