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
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.