Year: 2026
Type: preprint
Abstract: In this paper, we establish a finite--tame--wild trichotomy for the representation type of $(n+1)$-preprojective algebras of type $A_m$. We also provide a complete classification of such algebras with respect to $τ$-tilting finiteness. Moreover, for $n\ge 2$, we give a precise characterization of when each indecomposable module is $τ$-rigid.
Source: arXiv (Cornell University)
Author: Weng, Weikang
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7207522567