Stability, shards, and preprojective algebras
Representation Theory
2017-06-02 v1 Combinatorics
Abstract
The goal of this note two-fold. First, I draw attention to the way that semistability (in the sense of King) gives us a geometrical picture of (some of) the extension-closed abelian subcategories of a finite-dimensional algebra. Second, I describe Nathan Reading's shards of a hyperplane arrangement, and explain their relevance to understanding the semistability picture for finite-type preprojective algebras.
Cite
@article{arxiv.1706.00164,
title = {Stability, shards, and preprojective algebras},
author = {Hugh Thomas},
journal= {arXiv preprint arXiv:1706.00164},
year = {2017}
}
Comments
12 pages, prepared for the proceedings of ICRA 2016