20 citations · 20 across the 1 of their papers we have counts for
4 papers
Lattice structure of Weyl groups via representation theory of preprojective algebras
Osamu Iyama, Nathan Reading, Idun Reiten +1
This paper studies the combinatorics of lattice congruences of the weak order on a finite Weyl group , using representation theory of the corresponding preprojective algebra $Î…
-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…
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…