Norihiro Hanihara

activity

20242026

collaborators

7 papers

math.RT2026

Spherical modules and the Auslander--Gorenstein condition for Auslander--Yoneda algebras

Finn Bauwens, Norihiro Hanihara, RenÃ© Marczinzik +2

For a finite dimensional algebra $A$ of finite global dimension we study the Auslander--Yoneda algebra defined as the Yoneda algebra of the direct sum of all indecomposable $A$ -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 $I^$ over commutative Gorenstein rings $R$ . For this, we first…

math.RT2025

Silting correspondences and Calabi-Yau dg algebras

Norihiro Hanihara, Osamu Iyama

This paper is devoted to studying two important classes of objects in triangulated categories; silting objects and $d$ -cluster tilting objects, and their correspondences. First, we…

math.RT2025

Higher hereditary algebras and Calabi-Yau algebras arising from some toric singularities

Norihiro Hanihara

We study graded and ungraded singularity categories of some commutative Gorenstein toric singularities, namely, Veronese subrings of polynomial rings, and Segre products of some co…

math.RT2024

Reflexive modules and Auslander-type conditions

Norihiro Hanihara

We study the category $ref I^$ of reflexive modules over a two-sided Noetherian ring $I^$ . We show that the category $ref I^$ is quasi-abelian if…

math.RT2024

Calabi-Yau completions for roots of dualizing dg bimodules

Norihiro Hanihara

Roots of shifted Serre functors appear naturally in representation theory and algebraic geometry. We give an analogue of Keller's Calabi-Yau completion for roots of shifted inverse…