3 papers
math.RT2026
Spherical modules and the Auslander--Gorenstein condition for Auslander--Yoneda algebras
Finn Bauwens, Norihiro Hanihara, René Marczinzik +2
For a finite dimensional algebra of finite global dimension we study the Auslander--Yoneda algebra defined as the Yoneda algebra of the direct sum of all indecomposable -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 with cohomology concentrated in degrees between and , the extended heart $\mathcal{D}^{fd}(A)^{(-d,0]}\subseteq \math…