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arXiv · 2211.10428

Mutating signed $\tau$-exceptional sequences

Aslak Bakke Buan·Bethany Rose Marsh
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Abstract

We establish some properties of $\tau$-exceptional sequences for finite-dimensional algebras. In an earlier paper we established a bijection between the set of ordered support $\tau$-tilting modules and the set of complete signed $\tau$-exceptional sequences. We describe the action of the symmetric group on the latter induced by its natural action on the former. Similarly, we describe the effect on a $\tau$-exceptional sequence obtained by mutating the corresponding ordered support $\tau$-tilting module via a construction of Adachi-Iyama-Reiten.

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BibTeXRIS

Aslak Bakke Buan, Bethany Rose Marsh. 2022-11-18. Mutating signed $\tau$-exceptional sequences. https://arxiv.org/abs/2211.10428

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