Decompositions of Infinite-Dimensional $A_{ \infty,\infty}$ Quiver Representations
Representation Theory
2022-11-24 v1 Rings and Algebras
Abstract
Using linear algebraic methods we show that every (possibly infinite-dimensional) representation of a quiver with underlying graph is Krull-Schmidt, as long as the arrows in the quiver eventually point outward.
Keywords
Cite
@article{arxiv.2211.12984,
title = {Decompositions of Infinite-Dimensional $A_{ \infty,\infty}$ Quiver Representations},
author = {Nathaniel Gallup and Stephen Sawin},
journal= {arXiv preprint arXiv:2211.12984},
year = {2022}
}
Comments
21 page, 2 figures