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arXiv · 2507.07608

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

Maximilian Kaipel·Håvard Utne Terland
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Abstract

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

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BibTeXRIS

Maximilian Kaipel, Håvard Utne Terland. 2025-07-10. Classifying Nakayama algebras with a braid group action on $\tau$-exceptional sequences. https://arxiv.org/abs/2507.07608

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