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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…
math.RT2024
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 cl…
math.RT2024
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…