124 citations · 479 across the 19 of their papers we have counts for
4 papers · 1 filter
An introduction to higher Auslander-Reiten theory
Gustavo Jasso, Sondre Kvamme
This article consists of an introduction to Iyama's higher Auslander-Reiten theory for Artin algebras from the viewpoint of higher homological algebra. We provide alternative proof…
The naive approach for constructing the derived category of a -abelian category fails
Gustavo Jasso, Julian Külshammer
Let be a field. In this short note we give an example of a -abelian -category, realized as a -cluster-tilting subcategory of the category of fi…
Higher Nakayama algebras I: Construction
Gustavo Jasso, Julian Külshammer
We introduce higher dimensional analogues of the Nakayama algebras from the viewpoint of Iyama's higher Auslander--Reiten theory. More precisely, for each Nakayama algebra and…
Higher Auslander correspondence for dualizing -varieties
Osamu Iyama, Gustavo Jasso
Let be a commutative artinian ring. We extend higher Auslander correspondence from Artin -algebras of finite representation type to dualizing -varieties. More precisely,…