Classifying Nakayama algebras with a braid group action on $\ddot{I}„$-exceptional sequences

Abstract

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

24 pages, 1 figure, comments are welcome! v2: Added Sections 5 and 6 to complete the classification, Maximilian Kaipel added as author