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arXiv · 1601.07672

The bijection between exceptional subcategories and non-crossing partitions

Anningzhe Gao
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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.

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BibTeXRIS

Anningzhe Gao. 2016-01-28. The bijection between exceptional subcategories and non-crossing partitions. https://arxiv.org/abs/1601.07672

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