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math.RT2025
Auslander-Reiten theory via Nakayama duality in abelian categories
Zetao Lin, Shiping Liu
Using the Nakayama duality induced by a Nakayama functor, we provide a novel and concise account of the existence of Auslander-Reiten dualities and almost split sequences in abelia…
math.RT2024
A Representation theoretic perspective of Koszul theory
Ales Bouhada, Min Huang, Zetao Lin +1
We discover a new connection between Koszul theory and representation theory. Let $\La$ be a quadratic algebra defined by a locally finite quiver with relations. Firstly, we give a…
math.RT2024
Representation theory of graded algebras given by locally finite quivers
Zetao Lin, Shiping Liu
This paper aims to study graded modules over a graded algebra $\La$ given by a locally finite quiver with homogeneous relations. By constructing a graded Nakayama functor, we disco…