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arXiv · 2501.07990

Strongly Periodic Modules and Perverse Autoequivalences

Alfred Dabson
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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.

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Alfred Dabson. 2025-01-14. Strongly Periodic Modules and Perverse Autoequivalences. https://arxiv.org/abs/2501.07990

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