A $\tau$-Tilting Approach to Dissections of Polygons
Representation Theory
2018-05-15 v3
Abstract
We show that any accordion complex associated to a dissection of a convex polygon is isomorphic to the support -tilting simplicial complex of an explicit finite dimensional algebra. To this end, we prove a property of some induced subcomplexes of support -tilting simplicial complexes of finite dimensional algebras.
Keywords
Cite
@article{arxiv.1710.02119,
title = {A $\tau$-Tilting Approach to Dissections of Polygons},
author = {Vincent Pilaud and Pierre-Guy Plamondon and Salvatore Stella},
journal= {arXiv preprint arXiv:1710.02119},
year = {2018}
}