Marvin Plogmann

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math.RT2026

Spherical modules and the Auslander--Gorenstein condition for Auslander--Yoneda algebras

Finn Bauwens, Norihiro Hanihara, RenÃ© Marczinzik +2

For a finite dimensional algebra $A$ of finite global dimension we study the Auslander--Yoneda algebra defined as the Yoneda algebra of the direct sum of all indecomposable $A$ -mod…

math.RT2026

Complicial simple-minded collections

Marvin Plogmann

We consider the problem of characterizing derived endomorphism algebras of simple objects in length categories up to quasi-isomorphism. We give such a characterization for module c…

math.RT2025

On the Auslander--Reiten Theory for Extended Hearts of Proper Connective DG Algebras

Nao Mochizuki, Marvin Plogmann

We prove that, for a proper connective dg algebra $A$ with cohomology concentrated in degrees between $1 - d$ and $0$ , the extended heart $\mathcal{D}^{fd}(A)^{(-d,0]}\subseteq \math…