3 papers
math.RT2025
Homological dimensions of Schur algebras and an Auslander-type correspondence
Tiago Cruz, Karin Erdmann
We study the homological properties of Schur algebras over a field of positive characteristic , focusing on their interplay with the representation theory of quot…
math.RT2024
A higher dimensional Auslander-Iyama-Solberg correspondence
Tiago Cruz, Chrysostomos Psaroudakis
In this paper, we prove a higher dimensional version of Auslander-Iyama-Solberg correspondence. Iyama and Solberg have shown a bijection between -minimal Auslander-Gorenstein al…
math.RT2023
Relative Auslander--Gorenstein Pairs
Tiago Cruz, Chrysostomos Psaroudakis
In this paper, we introduce and study relative Auslander--Gorenstein pairs. This consists of a finite-dimensional Gorenstein algebra together with a self-orthogonal module that pro…