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Preprojective algebras and generalisations: A short survey
Aaron Chan, Osamu Iyama, Rene Marczinzik
The preprojective algebra of a hereditary algebra can be defined as a certain orbit construction of the regular representation generated by the Auslander-Reiten translation. In…
Left modularity and extremality for (some) infinite lattices
Sota Asai, Osamu Iyama, Kaveh Mousavand +1
For some important families of complete infinite lattices, we study some generalizations of two fundamental notions which are mostly treated for finite lattices. Specifically, for…
Fractionally Calabi-Yau algebras and cluster tilting
Aaron Chan, Osamu Iyama, Rene Marczinzik
We show that the class of twisted fractionally Calabi-Yau algebras of finite global dimension coincides with the stable endomorphism algebras of -cluster tilting modules over $d…
Triangle equivalences between Gorenstein tiled orders and incidence algebras of posets
Osamu Iyama, Junyang Liu
We prove that for any -graded Gorenstein tiled order , the stable category is triangle equivalent to the perfect derived cate…