6 papers
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…
The Derived Auslander--Iyama Correspondence II: Bimodule Calabi--Yau Structures
Gustavo Jasso, Fernando Muro
Let be a positive integer. In a previous article we established a bijective correspondence between the following classes of objects, considered up to the appropriate notion of…
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…
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…
-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 over…
On a theorem of B. Keller on Yoneda algebras of simple modules
Gustavo Jasso
A theorem of Keller states that the Yoneda algebra of the simple modules over a finite-dimensional algebra is generated in cohomological degrees and as a minimal …