English

Enhanced Nilpotent Representations of a Cyclic Quiver

Representation Theory 2010-04-22 v1

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 KK 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.

Keywords

Cite

@article{arxiv.1004.3595,
  title  = {Enhanced Nilpotent Representations of a Cyclic Quiver},
  author = {Casey P. Johnson},
  journal= {arXiv preprint arXiv:1004.3595},
  year   = {2010}
}

Comments

30 pages, 4 figures.

R2 v1 2026-06-21T15:12:53.651Z