T. Cruz

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math.RT2025

Homological dimensions of Schur algebras $S (p, 2 p)$ and an Auslander-type correspondence

Tiago Cruz, Karin Erdmann

We study the homological properties of Schur algebras $S (p, 2 p)$ over a field $k$ of positive characteristic $p$ , 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 $n$ -minimal Auslander-Gorenstein al…

Homological dimensions of Schur algebras S(p,2p) and an Auslander-type correspondence

A higher dimensional Auslander-Iyama-Solberg correspondence

Homological dimensions of Schur algebras $S (p, 2 p)$ and an Auslander-type correspondence