An introduction to the lattice of torsion classes
Representation Theory
2021-02-18 v1
Abstract
In this expository note, I present some of the key features of the lattice of torsion classes of a finite-dimensional algebra, focussing in particular on its complete semidistributivity and consequences thereof. This is intended to serve as an introduction to recent work by Barnard-Carroll-Zhu and Demonet-Iyama-Reading-Reiten-Thomas.
Keywords
Cite
@article{arxiv.2102.08527,
title = {An introduction to the lattice of torsion classes},
author = {Hugh Thomas},
journal= {arXiv preprint arXiv:2102.08527},
year = {2021}
}
Comments
19 pages. Prepared for submission to the special issue of the Bulletin of the Iranian Mathematical Society dedicated to the Isfahan School on Representations of Algebras