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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 clu…
math.RT2024
Auslander-Reiten's Cohen-Macaulay algebras and contracted preprojective algebras
Aaron Chan, Osamu Iyama, Rene Marczinzik
Auslander and Reiten called a finite dimensional algebra over a field Cohen-Macaulay if there is an -bimodule which gives an equivalence between the category of finitely…