324 citations · 2k across the 71 of their papers we have counts for
4 papers · 2 filters
Lattice theory of torsion classes: Beyond -tilting theory
Laurent Demonet, Osamu Iyama, Nathan Reading +2
The aim of this paper is to establish a lattice theoretical framework to study the partially ordered set of torsion classes over a finite-dimension…
Auslander-Gorenstein algebras from Serre-formal algebras via replication
Aaron Chan, Osamu Iyama, Rene Marczinzik
We introduce a new family of algebras, called Serre-formal algebras. They are Iwanaga-Gorenstein algebras for which applying any power of the Serre functor on any indecomposable pr…
Quotients of triangulated categories and Equivalences of Buchweitz, Orlov and Amiot--Guo--Keller
Osamu Iyama, Dong Yang
We give a sufficient condition for a Verdier quotient $\ct/\cs$ of a triangulated category $\ct$ by a thick subcategory $\cs$ to be realized inside of $\ct$ as an ideal quotient. A…
d-Representation-finite self-injective algebras
Erik Darpö, Osamu Iyama
In this paper, we initiate the study of higher-dimensional Auslander-Reiten theory of self-injective algebras. We give a systematic construction of (weakly) -representation-fini…