Alfredo González Chaio

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20112023

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math.RT2023

The Auslander-Reiten quiver of the category of m-periodic complexes

Claudia Chaio, Alfredo González Chaio, Isabel Pratti +1

Let $A$ be an additive $k -$ category and $C_{\equiv m} (A)$ be the category of $m -$ periodic objects. For any integer $m > 1$ , we study conditions under whi…

math.RT2017

On the Representation Dimension of Tame Cluster Tilted Algebras

Alfredo González Chaio, Sonia Trepode

The aim of this work is to study the representation dimension of cluster tilted algebras. We prove that the weak representation dimension of tame cluster tilted algebras is equal t…

math.RT2011

Representation Dimension of Cluster Concealed Algebras

Alfredo Gonzalez Chaio, Sonia Trepode

We are going to show that the representation dimension of a cluster-concealed algebra B is 3. We compute its representation dimension by showing an explicit Auslander generator for…