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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…