4 papers
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 -…
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…
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…