Maximilian Kaipel

collaborators

3 papers

math.RT2025

Bricks and $τ$ -tilting theory under base field extensions

Erlend D. Børve, Eric J. Hanson, Maximilian Kaipel

Let $K : k$ be a field extension and let $Λ$ be a finite-dimensional $k$ -algebra. We investigate the relationship between $Λ$ and $Λ_{K} = Λ \otimes_{k} K$ with particular emphasis on var…

math.RT2025

Classifying Nakayama algebras with a braid group action on $τ$ -exceptional sequences

Maximilian Kaipel, Håvard Utne Terland

We characterise those basic and connected Nakayama algebras $Λ$ for which the mutation of $τ$ -exceptional sequences respects the braid group relations. We show that this is the cas…

math.RT2025

Mutating ordered $τ$ -rigid modules with applications to Nakayama algebras

Aslak B. Buan, Maximilian Kaipel, Håvard U. Terland

A mutation operation for $τ$ -exceptional sequences of modules over any finite-dimensional algebra was recently introduced, generalising the mutation for exceptional sequences of mo…

Bricks and τ-tilting theory under base field extensions

Classifying Nakayama algebras with a braid group action on τ-exceptional sequences

Mutating ordered τ-rigid modules with applications to Nakayama algebras

Bricks and $τ$ -tilting theory under base field extensions

Classifying Nakayama algebras with a braid group action on $τ$ -exceptional sequences

Mutating ordered $τ$ -rigid modules with applications to Nakayama algebras