Enhanced nilpotent representations of a cyclic quiver.

摘要

We define a set of "enhanced" nilpotent quiver representations that generalizes both the enhanced nilpotent cone and the colored 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. Finally, we present a conjectural combinatorial description of the closure order.