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arXiv · 2507.07608

Classifying Nakayama algebras with a braid group action on $τ$-exceptional sequences

Maximilian Kaipel·Håvard Utne Terland
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Abstract

We characterise those basic and connected Nakayama algebras $Λ$ for which the mutation of $τ$-exceptional sequences respects the braid group relations. We show that this is the case if and only if $Λ$ is hereditary or all indecomposable projective $Λ$-modules have length at least $|Λ|$.

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Maximilian Kaipel, Håvard Utne Terland. 2026-01-06. Classifying Nakayama algebras with a braid group action on $τ$-exceptional sequences. https://arxiv.org/abs/2507.07608

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