Strongly Periodic Modules and Perverse Autoequivalences
Representation Theory
2025-01-16 v2
Abstract
We introduce a notion of strong periodicity of a module over a finite-dimensional algebra over a field. We prove that the existence of such modules over certain idempotent algebras is both a necessary and sufficient condition for the existence of a two-step self-perverse equivalence of a finite-dimensional algebra. We survey some applications to the setting of the symmetric groups.
Cite
@article{arxiv.2501.07990,
title = {Strongly Periodic Modules and Perverse Autoequivalences},
author = {Alfred Dabson},
journal= {arXiv preprint arXiv:2501.07990},
year = {2025}
}
Comments
37 pages