Maximilian Kaipel

activity

20242026

collaborators

7 papers

math.AP2026

Global classical solutions to 3D irrotational compressible Euler equations of Chaplygin gases with weakly decaying initial data

Mu Gao, Huicheng Yin

We are concerned with the global classical solution problem of 3D compressible isentropic Euler equations of Chaplygin gases \[ \begin{cases} \partial_tρ+ \mathrm{div}(ρv) = 0,\\ \…

math.RT2026

Exceptional versus $I ¨ $ -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 $I ¨ $ -exceptional sequence.…

math.RT2026

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

Maximilian Kaipel, HÃ¥vard Utne Terland

We characterise those basic and connected Nakayama algebras $I^$ for which the mutation of $I ¨ $ -exceptional sequences respects the braid group relations. We show that this is the c…

math.RT2025

Bricks and $I ¨ $ -tilting theory under base field extensions

Erlend D. BÃ¸rve, Eric J. Hanson, Maximilian Kaipel

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

math.RT2025

$I ¨ $ -cluster morphism categories of factor algebras

Maximilian Kaipel

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

math.RT2025

Mutating ordered $I ¨ $ -rigid modules with applications to Nakayama algebras

Aslak B. Buan, Maximilian Kaipel, HÃ¥vard U. Terland

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

Global classical solutions to 3D irrotational compressible Euler equations of Chaplygin gases with weakly decaying initial data

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

Classifying Nakayama algebras with a braid group action on I¨-exceptional sequences

Bricks and I¨-tilting theory under base field extensions

I¨-cluster morphism categories of factor algebras

Mutating ordered I¨-rigid modules with applications to Nakayama algebras

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

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

Bricks and $I ¨ $ -tilting theory under base field extensions

$I ¨ $ -cluster morphism categories of factor algebras

Mutating ordered $I ¨ $ -rigid modules with applications to Nakayama algebras