On the module categories of generalized preprojective algebras of Dynkin type

arXiv1906.08739MaRDI QIDQ6320796

Kota Murakami

Publication date: 20 June 2019

Abstract: For a symmetrizable GCM $C$ and its symmetrizer $D$, Geiss-Leclerc-Schr"oer [Invent. Math. 209 (2017)] has introduced a generalized preprojective algebra $Pi$ associated to $C$ and $D$, that contains a class of modules, called locally free modules. We show that any basic support $au$-tilting $Pi$-module is locally free and gives a classification theorem of torsion-free classes in $operatornamemathbfrepPi$ as the generalization of the work of Mizuno [Math. Z. 277 (2014)].

Mathematics Subject Classification ID

Representations of quivers and partially ordered sets (16G20) Representations of associative Artinian rings (16G10)

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