3 papers
math.RT2025
Transitivity of mutation of -exceptional sequences in the -tilting finite case
Aslak B. Buan, Eric J. Hanson, Bethany R. Marsh
We prove that mutation of complete -exceptional sequences is transitive for -tilting finite algebras.
math.RT2024
Mutation of τ-exceptional pairs and sequences
Aslak B. Buan, Eric J. Hanson, Bethany R. Marsh
We introduce a notion of mutation for -exceptional sequences of modules over arbitrary finite dimensional algebras. For hereditary algebras, we show that this coincides with the…
math.RT2023
Reduction of Frobenius extriangulated categories
Eleonore Faber, Bethany Rose Marsh, Matthew Pressland
We describe a reduction technique for stably 2-Calabi--Yau Frobenius extriangulated categories with respect to a functorially finite rigid subcategory .…