Mutating signed -exceptional sequences
Journal article, Peer reviewed
Accepted version
Permanent lenke
https://hdl.handle.net/11250/3123274Utgivelsesdato
2023Metadata
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- Institutt for matematiske fag [2353]
- Publikasjoner fra CRIStin - NTNU [37221]
Sammendrag
We establish some properties of τ
-exceptional sequences for finite-dimensional algebras. In an earlier paper, we established a bijection between the set of ordered support τ
-tilting modules and the set of complete signed τ
-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 τ
-exceptional sequence obtained by mutating the corresponding ordered support τ
-tilting module via a construction of Adachi-Iyama-Reiten.