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