Year: 2026
Type: preprint
Abstract: We show that rigid modules are $τ$-locally free for a large family of 1-Iwanaga--Gorenstein algebras. This family includes many cases of the algebras introduced by Geiss--Leclerc--Schröer in their Inventiones paper "Quivers with relations for symmetrizable Cartan matrices I: Foundations", hence answering a question posed by Geiss--Leclerc--Schröer for many new cases. Our result is achieved by introducing coactions of Taft algebras and applying the recent theory developed by the first-named author and Coulembier.
Source: arXiv (Cornell University)
Authors: Heng, Edmund, Pfeifer, Calvin
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7223279019