Enhanced Nilpotent Representations of a Cyclic Quiver

Abstract

We define a set of "enhanced" nilpotent quiver representations that generalizes the enhanced nilpotent cone. This set admits an action by an associated algebraic group $K$ with finitely many orbits. We define a combinatorial set that parametrizes the set of orbits under this action and we derive a purely combinatorial formula for the dimension of an orbit.

30 pages, 4 figures.

References in corpus (2)

• Orbit closures in the enhanced nilpotent cone
• An exotic Springer correspondence for symplectic groups

Cited by in corpus (1)

• Normality of orbit closures in the enhanced nilpotent cone