Maximilian Kaipel

activity

20232026

most citedThe category of a partitioned fan

3 citations · 3 across the 8 of their papers we have counts for

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8 papers · 1 filter

math.RT2026

$g$ -vector fans and picture categories for 0-Auslander extriangulated categories

Erlend D. Børve, Maximilian Kaipel

We extend the notion of $g$ -vector fan so that it is defined for a Hom-finite Krull-Schmidt 0-Auslander $k$ -linear extriangulated category $C$ with a projective…

math.RT2026

Exceptional versus $τ$ -exceptional sequences for the Auslander algebra of $K [x] / (x^{t})$

Maximilian Kaipel

For $A_{t}$ , the Auslander algebra of $K [x] / (x^{t})$ , it is shown that every complete exceptional sequence of $A_{t}$ -modules is a complete $τ$ -exceptional sequence.…

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…

math.RT2024

$τ$ -cluster morphism categories of factor algebras

Maximilian Kaipel

We take a novel lattice-theoretic approach to the $τ$ -cluster morphism category $T (A)$ of a finite-dimensional algebra $A$ and define the category via the lattice of tor…

math.RT2023★ 3 cited

The category of a partitioned fan

Maximilian Kaipel

In this paper, we introduce the notion of an admissible partition of a simplicial polyhedral fan and define the category of a partitioned fan as a generalisation of the $τ$ -cluster…

math.RT2023

Wall-and-chamber structures for finite-dimensional algebras and $τ$ -tilting theory

Maximilian Kaipel, Hipolito Treffinger

The wall-and-chamber structure is a geometric invariant that can be associated to any algebra. In this notes we give the definition of this object and we explain its relationship w…

g-vector fans and picture categories for 0-Auslander extriangulated categories

Exceptional versus τ-exceptional sequences for the Auslander algebra of K[x]/(xt)

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

τ-cluster morphism categories of factor algebras

The category of a partitioned fan

Wall-and-chamber structures for finite-dimensional algebras and τ-tilting theory

$g$ -vector fans and picture categories for 0-Auslander extriangulated categories

Exceptional versus $τ$ -exceptional sequences for the Auslander algebra of $K [x] / (x^{t})$

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

$τ$ -cluster morphism categories of factor algebras

Wall-and-chamber structures for finite-dimensional algebras and $τ$ -tilting theory