Enhanced Nilpotent Representations of a Cyclic Quiver

Details Enhanced Nilpotent Representations of a Cyclic Quiver Enhanced Nilpotent Representations of a Cyclic Quiver

2010-04-20

arxiv.org/abs/1004.3595v1

Mathematics

Representation Theory

30 pages, 4 figures.

Scientific paper

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.

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