Notices of the American Mathematical Society

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Featured Articles and Invitations from the AMS

Quiver Representations

Harm Derksen and Jerzy Weyman

A quiver is a directed graph, and a representation of a quiver is a collection of finite dimensional vector spaces, one for each graph vertex, and linear transformations, one for each directed edge. Representations of a given quiver form a category, which, as the authors discuss, can be surprisingly rigid and rich.