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math.RT2026
Nilpotent representations over equioriented cyclic quivers
Cornell Holmes, Mee Seong Im
We give a geometric description of nilpotent representations of equioriented cyclic quivers over a field via an explicit bijection. Over a finite field, this yields formulas for th…
math.RT2026
Multisymmetric polynomials on set-theoretic quiver representations
Radford Green, Cornell Holmes, Mee Seong Im
Eventually constant set-valued representations of a quiver are set-theoretic analogues of nilpotent representations. In recent work by Green-Holmes-Im, the authors enumerated event…
math.CO2026
Multisymmetric functions on eventually constant cyclic graphs
Radford Green, Cornell Holmes, Mee Seong Im
The study of spanning trees and related structures is central in graph theory, closely connected to understanding functions between finite sets. This paper generalizes the establis…