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math.RT2026
Extended Admissible Dissections of Marked Surfaces and Piano Algebras
Marina Godinho, Dave Murphy
We introduce the notion of extended admissible dissections of a marked surface, building upon the notion of an admissible dissection of a marked surface by Amiot--Plamondon--Schrol…
math.RT2025
Triangulated Categories Admitting Linear Generators
Marina Godinho, Dave Murphy
We introduce the notion of a -linear generator in a -linear, Hom-finite, Krull-Schmidt algebraic triangulated category over a field , for some positive integ…
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^…