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math.RT2023
Cluster characters for 2-Calabi-Yau Frobenius extriangulated categories
Li Wang, Jiaqun Wei, Haicheng Zhang
We define the cluster characters for 2-Calabi-Yau Frobenius extriangulated categories with cluster tilting objects. This provides a unified framework of cluster characters in 2-Cal…
math.RT2023
The Auslander-Reiten theory of the morphism category of projective modules
Rasool Hafezi, Jiaqun Wei
We investigate the structure of certain almost split sequences in , i.e., the category of morphisms between projective modules over an Artin algebra . The catego…
math.RT2023
Distributivity in lattices of torsion classes over finite-dimensional algebras
Yongle Luo, Jiaqun Wei
Let be a basic finite-dimensional algebra and denote by the collection of all all torsion classes of . It has been proved in \cite{Demonet} that $\op…