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arXiv:2211.12984 [math.RT]AbstractReferencesReviewsResources

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

Nathaniel Gallup, Stephen Sawin

Published 2022-11-23Version 1

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.

Comments: 21 page, 2 figures
Categories: math.RT, math.RA
Subjects: 16G20
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