2 papers
math.RT2025
Completely-decomposable subcategories of quiver representations
Yariana Diaz
When filtering a topological space by a single parameter, the theory of quiver representations provides a complete framework for decomposing the resulting persistence module to obt…
math.RT2024
Total stability and Auslander-Reiten theory for Dynkin quivers
Yariana Diaz, Cody Gilbert, Ryan Kinser
This paper concerns stability functions for Dynkin quivers, in the generality introduced by Rudakov. We show that relatively few inequalities need to be satisfied for a stability f…