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math.RT2025
Triangulated Categories Admitting Linear Generators
Marina Godinho, Dave Murphy
The main result of this paper is that there is an additive equivalence between , the Paquette-Yildirim completion of the discrete cluster categories of Dy…
math.RT2025
Grothendieck groups of repetitive cluster categories
Huimin Chang, Dave Murphy, Panyue Zhou
In order to study cluster-tilted algebras and their intermediate coverings, Zhu introduced the notion of repetitive cluster categories, defined as the orbit categories $\mathcal D^…