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math.RT2026
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…
math.RT2026
Calabi-Yau structures on derived and singularity categories of symmetric orders
Norihiro Hanihara, Junyang Liu
We construct left and right Calabi-Yau structures on derived respectively singularity categories of symmetric orders over commutative Gorenstein rings . For this, we first c…