Year: 2026
Type: preprint
Abstract: Let $A$ be a string algebra. We identify its Gorenstein-projective support $τ$-tilting pairs with a distinguished class of maximal good collections and give a finite compatibility graph for them. Under the G-condition, we construct an explicit labelled tiled-surface model for $\mathrm{End}_A(T)$ for every nonzero basic Gorenstein-projective module $T$. Under the same condition, we show that $A$ is representation-finite if and only if $\End_A(T)$ is representation-finite for every basic Gorenstein-projective module $T$.
Source: arXiv (Cornell University)
Authors: Liu, Yu-Zhe, Xin, Zheng
Institutions: Guizhou University, Shaanxi Normal University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: Guizhou University
OpenAlex ID: W7216120878