B. Marsh

collaborators

3 papers

math.RT2025

Transitivity of mutation of $τ$ -exceptional sequences in the $τ$ -tilting finite case

Aslak B. Buan, Eric J. Hanson, Bethany R. Marsh

We prove that mutation of complete $τ$ -exceptional sequences is transitive for $τ$ -tilting finite algebras.

math.RT2024

Presentations of the braid group of the complex reflection group $G (d, d, n)$

Francesca Fedele, Bethany Rose Marsh

We show that the braid group associated to the complex reflection group $G (d, d, n)$ is an index $d$ subgroup of the braid group of the orbifold quotient of the complex numbers by a…

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 $τ$ -exceptional sequences of modules over arbitrary finite dimensional algebras. For hereditary algebras, we show that this coincides with the…

Transitivity of mutation of τ-exceptional sequences in the τ-tilting finite case

Presentations of the braid group of the complex reflection group G(d,d,n)

Mutation of τ-exceptional pairs and sequences

Transitivity of mutation of $τ$ -exceptional sequences in the $τ$ -tilting finite case

Presentations of the braid group of the complex reflection group $G (d, d, n)$