Eric J. Hanson

collaborators

3 papers

math.RT2025

Stabilization of the Spread-Global Dimension

Benjamin Blanchette, Justin Desrochers, Eric J. Hanson +1

Motivated by constructions from applied topology, there has been recent interest in the homological algebra of linear representations of posets, particularly in the context of homo…

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

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…

Stabilization of the Spread-Global Dimension

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

Mutation of τ-exceptional pairs and sequences

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