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math.RT2019★ 4 cited
The Nakayama automorphism of a self-injective preprojective algebra
Joseph Grant
We give a simple proof, using Auslander-Reiten theory, that the preprojective algebra of a basic hereditary algebra of finite representation type is Frobenius. We then describe its…
math.RT2019★ 10 cited
Higher preprojective algebras, Koszul algebras, and superpotentials
Joseph Grant, Osamu Iyama
In this article we study higher preprojective algebras, showing that various known results for ordinary preprojective algebras generalize to the higher setting. We first show that…