Gustavo Jasso

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20162019

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math.RT2019

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…

math.RT2018

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 $A$ , a family of algebras arising in the context of Iyama's higher Auslander-Reiten t…

math.RT2016

The naive approach for constructing the derived category of a $d$ -abelian category fails

Gustavo Jasso, Julian Külshammer

Let $k$ be a field. In this short note we give an example of a $2$ -abelian $k$ -category, realized as a $2$ -cluster-tilting subcategory of the category $mod A$ of fi…

Generalised BGP reflection functors via the Grothendieck construction

Simplicial structures in higher Auslander-Reiten theory

The naive approach for constructing the derived category of a d-abelian category fails

The naive approach for constructing the derived category of a $d$ -abelian category fails