324 citations · 2k across the 71 of their papers we have counts for
74 papers
-TF equivalences on the real Grothendieck groups
Sota Asai, Osamu Iyama
For an abelian length category with only finitely many isoclasses of simple objects, we have the wall-chamber structure and the TF equivalence on the dual real Grothe…
Cohen-Macaulay representations of Artin-Schelter Gorenstein algebras of dimension one
Osamu Iyama, Yuta Kimura, Kenta Ueyama
Tilting theory is one of the central tools in modern representation theory, in particular in the study of Cohen-Macaulay representations. We study Cohen-Macaulay representations of…
Fans and polytopes in tilting theory II: -fans of rank 2
Toshitaka Aoki, Akihiro Higashitani, Osamu Iyama +2
The -fan of a finite dimensional algebra is a fan in its real Grothendieck group defined by tilting theory. We give a classification of complete -fans of rank 2. More explici…
Enhanced Auslander-Reiten duality and Morita theorem for singularity categories
Norihiro Hanihara, Osamu Iyama
We establish a Morita theorem to construct triangle equivalences between the singularity categories of (commutative and non-commutative) Gorenstein rings and the cluster categories…
Triangulations of prisms and preprojective algebras of type
Osamu Iyama, Nicholas J. Williams
We show that indecomposable two-term presilting complexes over , the preprojective algebra of , are in bijection with internal -simplices in the prism $Δ_{n} \time…
Fans and polytopes in tilting theory I: Foundations
Toshitaka Aoki, Akihiro Higashitani, Osamu Iyama +2
For a finite dimensional algebra over a field , the 2-term silting complexes of gives a simplicial complex called the -simplicial complex. We give tilting theo…