论文标题

无限维$ a_ {\ infty,\ infty}的分解

Decompositions of Infinite-Dimensional $A_{ \infty,\infty}$ Quiver Representations

论文作者

Gallup, Nathaniel, Sawin, Stephen

论文摘要

使用线性代数方法,我们表明的是,只要箭筒中的箭头最终向外指向,每个(可能是无限二维的)表示带有基础图$ a _ {\ infty,\ infty} $的颤抖的震颤的表示。

Using linear algebraic methods we show that every (possibly infinite-dimensional) representation of a quiver with underlying graph $A_{\infty, \infty}$ is Krull-Schmidt, as long as the arrows in the quiver eventually point outward.

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