[[Quiver representation theory MOC]]
# Linear quiver

A **$\mathbb{K}$-linear quiver** $\Gamma$ is a [[quiver]] whose vertices $\Gamma V$ are $\mathbb{K}$-[[Vector space|vector spaces]]
and whose edges $\Gamma E$ are $\mathbb{K}$-[[linear map|linear maps]] such that source and target are the domain and codomain respectively. #m/def/cat 
It follows a linear quiver is a [[Subquiver]] of some small [[subcategory]] of [[Category of vector spaces]].

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#state/tidy | #lang/en | #SemBr