124 citations · 479 across the 19 of their papers we have counts for
19 papers
Hopfological algebra, revisited
Juan Omar Gómez, Gustavo Jasso, Marius Nielsen
We propose an -categorical approach to Khovanov--Qi's Hopfological algebra that, in particular, refines several foundational aspects of the theory by recasting the previous…
Nakayama-type phenomena in higher Auslander--Reiten theory
Gustavo Jasso, Julian Külshammer
This paper surveys recent contructions in higher Auslander--Reiten theory. We focus on those which, due to their combinatorial properties, can be regarded as higher dimensional ana…
Derived equivalences of upper-triangular ring spectra via lax limits
Gustavo Jasso
We extend a theorem of Ladkani concerning derived equivalences between upper-triangular matrix rings from ordinary rings to ring spectra. Our result also extends an analogous theor…
The Donovan--Wemyss Conjecture via the Derived Auslander--Iyama Correspondence
Gustavo Jasso, Bernhard Keller, Fernando Muro
We provide an outline of the proof of the Donovan--Wemyss Conjecture in the context of the Homological Minimal Model Program for threefolds. The proof relies on results of August,…
The Derived Auslander-Iyama Correspondence
Gustavo Jasso, Bernhard Keller, Fernando Muro
We work over a perfect field. Recent work of the third-named author established a Derived Auslander Correspondence that relates finite-dimensional self-injective algebras that are…
The symplectic geometry of higher Auslander algebras: Symmetric products of disks
Tobias Dyckerhoff, Gustavo Jasso, Yanki Lekili
We show that the perfect derived categories of Iyama's -dimensional Auslander algebras of type are equivalent to the partially wrapped Fukaya categories of the -…
Higher Auslander algebras of type and the higher Waldhausen -constructions
Gustavo Jasso
These notes are an expanded version of my talk at the ICRA 2018 in Prague, Czech Republic; they are based on joint work with Tobias Dyckerhoff and Tashi Walde. In them we relate Iy…
Generalised BGP reflection functors via the Grothendieck construction
Tobias Dyckerhoff, Gustavo Jasso, Tashi Walde
Inspired by work of Ladkani, we explain how to construct generalisations of the classical reflection functors of Bernšte\uın, Gel'fand and Ponomarev by means of the Grothendieck co…
Simplicial structures in higher Auslander-Reiten theory
Tobias Dyckerhoff, Gustavo Jasso, Tashi Walde
We develop a novel combinatorial perspective on the higher Auslander algebras of type , a family of algebras arising in the context of Iyama's higher Auslander-Reiten t…
An introduction to higher Auslander-Reiten theory
Gustavo Jasso, Sondre Kvamme
This article consists of an introduction to Iyama's higher Auslander-Reiten theory for Artin algebras from the viewpoint of higher homological algebra. We provide alternative proof…
The naive approach for constructing the derived category of a -abelian category fails
Gustavo Jasso, Julian Külshammer
Let be a field. In this short note we give an example of a -abelian -category, realized as a -cluster-tilting subcategory of the category of fi…
Higher Nakayama algebras I: Construction
Gustavo Jasso, Julian Külshammer
We introduce higher dimensional analogues of the Nakayama algebras from the viewpoint of Iyama's higher Auslander--Reiten theory. More precisely, for each Nakayama algebra and…
Higher Auslander correspondence for dualizing -varieties
Osamu Iyama, Gustavo Jasso
Let be a commutative artinian ring. We extend higher Auslander correspondence from Artin -algebras of finite representation type to dualizing -varieties. More precisely,…
-tilting finite algebras, bricks and -vectors
Laurent Demonet, Osamu Iyama, Gustavo Jasso
The class of support -tilting modules was introduced to provide a completion of the class of tilting modules from the point of view of mutations. In this article we study -ti…
-abelian and -exact categories
Gustavo Jasso
We introduce -abelian and -exact categories, these are analogs of abelian and exact categories from the point of view of higher homological algebra. We show that -cluster-…
Higher n-angulations from local rings
Petter Andreas Bergh, Gustavo Jasso, Marius Thaule
We show that the category of finitely generated free modules over certain local rings is n-angulated for every n at least 3. In fact, we construct several classes of n-angles, para…
Reduction of -tilting modules and torsion pairs
Gustavo Jasso
The class of support -tilting modules was introduced recently by Adachi, Iyama and Reiten. These modules complete the class of tilting modules from the point of view of mutation…
The extended affine Lie algebra associated with a connected non-negative unit form
Gustavo Jasso
Given a connected non-negative unit form we construct an extended affine Lie algebra by giving a Chevalley basis for it. We also obtain this algebra as a quotient of an algebra def…
Tubular Cluster Algebras II: Exponential growth
Michael Barot, Christof Geiss, Gustavo Jasso
Among the mutation finite cluster algebras the tubular ones are a particularly interesting class. We show that all tubular (simply laced) cluster algebras are of exponential growth…