Intuition behind the Canonical Projective Resolution of a Quiver Representation – mathoverflow.net

Intuition behind the Canonical Projective Resolution of a Quiver Representation – mathoverflow.net

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Let $Q$ be a finite acyclic quiver, and $X$ some representation of $Q$. For $i \in Q_0$ define the $kQ$-modules $P_i = kQe_i$, and $X(i) = e_i X$. The representation $X$ has a canonical projective ...

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