Quiver representations

We will define quivers and their representations and use examples to gain intuition. We will then define algebraic objects associated to quivers (the path algebra and the \(K\)-group) and use these to state the standard representation of a quiver and explore properties of the category of quiver representations. This talk will cover sections 1.1–1.4 of Quiver Representations and Quiver Varieties by Alexander Kirillov Jr.

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Date published: Wednesday, January 28, 2026