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From the 1 of 5 linked papers with an AI index.

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5 papers

math.RT2026

The Derived Auslander--Iyama Correspondence II: Bimodule Calabi--Yau Structures

Gustavo Jasso, Fernando Muro

The paper extends a previously established correspondence between certain dg algebras and twisted periodic Frobenius algebras to the setting of bimodule right Calabi–Yau dg algebra…

math.RT2026

Rickard's Derived Morita Theory: Review and Outlook

Gustavo Jasso, Henning Krause, Sibylle Schroll

We survey the main results in Jeremy Rickard's seminal papers `Morita theory for derived categories' and `Derived equivalences and derived functors'. These papers catalysed the lat…

math.RT2026

Stable -categories for representation theorists

Gustavo Jasso

This survey is intended as an invitation to the theory of stable -categories, addressed primarily to mathematicians working in the representation theory of algebras and rel…

math.RT2026

Minimal -algebras of endomorphisms: The case of -cluster tilting objects

Gustavo Jasso, Fernando Muro

The Derived Auslander--Iyama Corresponence, a recent result of the authors, provides a classification up to quasi-isomorphism of the derived endomorphism algebras of basic $d\mathb…

math.RT2025

-shaped derived categories as derived categories of differential graded bimodules

Gustavo Jasso

We prove that, under mild assumptions, the -shaped derived categories introduced by Holm and Jørgensen are equivalent to derived categories of differential graded bimodules ove…