31 citations · 62 across the 18 of their papers we have counts for
18 papers
Preprojective algebras and generalisations: A short survey
Aaron Chan, Osamu Iyama, Rene Marczinzik
The preprojective algebra of a hereditary algebra can be defined as a certain orbit construction of the regular representation generated by the Auslander-Reiten translation. In…
Fractionally Calabi-Yau algebras and cluster tilting
Aaron Chan, Osamu Iyama, Rene Marczinzik
We show that the class of twisted fractionally Calabi-Yau algebras of finite global dimension coincides with the stable endomorphism algebras of -cluster tilting modules over $d…
Marked non-orientable surfaces and cluster categories via symmetric representations
Véronique Bazier-Matte, Aaron Chan, Kayla Wright
We initiate the investigation of representation theory of non-orientable surfaces. As a first step towards finding an additive categorification of Dupont and Palesi's quasi-cluster…
On representation-finite gendo-symmetric algebras with only one non-injective projective module
Takuma Aihara, Aaron Chan, Takahiro Honma
Motivated by the relation between Schur algebra and the group algebra of a symmetric group, along with other similar examples in algebraic Lie theory, Min Fang and Steffen Koenig a…
Periodic trivial extension algebras and fractionally Calabi-Yau algebras
Aaron Chan, Erik Darpö, Osamu Iyama +1
We study periodicity and twisted periodicity of the trivial extension algebra of a finite-dimensional algebra . Our main results show that (twisted) periodicity of …
Classifying torsion classes of gentle algebras
Aaron Chan, Laurent Demonet
For a finite-dimensional gentle algebra, it is already known that the functorially finite torsion classes of its category of finite-dimensional modules can be classified using a co…