Bruhat inversions in Weyl groups and torsion-free classes over preprojective algebras

For an element w of the simply-laced Weyl group, Buan-Iyama-Reiten-Scott defined a subcategory \mathcal{F}(w) of a module category over a preprojective algebra of Dynkin type. This paper aims at studying categorical properties of \mathcal{F}(w) via its connection with the root system. We show that by taking dimension vectors, simple objects... Show more