324 citations · 2k across the 71 of their papers we have counts for
7 papers · 2 filters
Gorenstein modifications and -Gorenstein rings
Hailong Dao, Osamu Iyama, Ryo Takahashi +1
Let be a Cohen--Macaulay normal domain with a canonical module . It is proved that if admits a noncommutative crepant resolution (NCCR), then necessarily it is $\mathb…
Noncommutative resolutions using syzygies
Hailong Dao, Osamu Iyama, Srikanth B. Iyengar +3
Given a noether algebra with a noncommutative resolution, a general construction of new noncommutative resolutions is given. As an application, it is proved that any finite length…
Auslander-Gorenstein algebras and precluster tilting
Osamu Iyama, Øyvind Solberg
We generalize the notions of -cluster tilting subcategories and -selfinjective algebras into -precluster tilting subcategories and -selfinjective algebras, where we s…
Weighted Projective Lines and Rational Surface Singularities
Osamu Iyama, Michael Wemyss
In this paper we study rational surface singularities R with star shaped dual graphs, and under very mild assumptions on the self-intersection numbers we give an explicit descripti…
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 …
Classifying -tilting modules over the Auslander algebra of
Osamu Iyama, Xiaojin Zhang
We build a bijection between the set $\sttiltΛ$ of isomorphism classes of basic support -tilting modules over the Auslander algebra of and the symmetric group $…