The bijection between exceptional subcategories and non-crossing partitions
Representation Theory
2016-01-29 v1
Abstract
This note discusses the bijection between the exceptional subcategories of representations of quivers and generalized non-crossing partitions of Weyl groups. We give a new proof of the Ingalls-Thomas-Igusa-Schiffler bijection by using the exchange property of the Weyl groups of the Kac-Moody Lie algebras.
Cite
@article{arxiv.1601.07672,
title = {The bijection between exceptional subcategories and non-crossing partitions},
author = {Anningzhe Gao},
journal= {arXiv preprint arXiv:1601.07672},
year = {2016}
}