3 papers
math.CT2024
Frobenius algebra objects in Temperley-Lieb categories at roots of unity
Joseph Grant, Mathew Pugh
We give a new definition of a Frobenius structure on an algebra object in a monoidal category, generalising Frobenius algebras in the category of vector spaces. Our definition allo…
math.RT2019
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
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…