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math.RT2026
Truncation of dg categories and connective resolutions
Norihiro Hanihara
We study the truncation of dg categories. We first show that given a dg category with shifts, for example a pretriangulated dg category, the canonical f…
math.RT2026
Spherical modules and the Auslander--Gorenstein condition for Auslander--Yoneda algebras
Finn Bauwens, Norihiro Hanihara, René Marczinzik +2
For a finite dimensional algebra of finite global dimension we study the Auslander--Yoneda algebra defined as the Yoneda algebra of the direct sum of all indecomposable -mod…
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…