281 citations · 825 across the 34 of their papers we have counts for
35 papers
On -tilting theory
Takahide Adachi, Osamu Iyama, Idun Reiten
We give a brief introduction to -tilting theory [AIR]. In particular, we will see how our theory unifies two different branches of tilting theory, namely, silting theory and clu…
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…
Dominant dimension and tilting modules
Van C. Nguyen, Idun Reiten, Gordana Todorov +1
We study which algebras have tilting modules that are both generated and cogenerated by projective-injective modules. Crawley-Boevey and Sauter have shown that Auslander algebras h…
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 …
Algebras of finite representation type arising from maximal rigid objects
Aslak Bakke Buan, Yann Palu, Idun Reiten
We give a complete classification of all algebras appearing as endomorphism algebras of maximal rigid objects in standard 2-Calabi-Yau categories of finite type. Such categories ar…
Rigid and Schurian modules over cluster-tilted algebras of tame type
Bethany Marsh, Idun Reiten
We give an example of a cluster-tilted algebra A with quiver Q, such that the associated cluster algebra has a denominator vector which is not the dimension vector of any indecompo…