3 papers
math.RT2023
Tropical coefficient dynamics for higher-dimensional cluster categories
Steffen Oppermann, Hugh Thomas
We show that the index in higher-dimensional cluster categories mutates according to a higher-dimensional version of tropical coefficient dynamics.
math.RT2023
Shard modules
Will Dana, David E Speyer, Hugh Thomas
Motivated by the goal of studying cluster algebras in infinite type, we study the stability domains of modules for the preprojective algebra in the corresponding infinite types. Sp…
math.RT2023
A generalization of perfectly clustering words and band bricks for certain gentle algebras
Benjamin Dequêne, Mélodie Lapointe, Yann Palu +3
We generalize the perfectly clustering words of Simpson and Puglisi and relate them to band bricks over certain gentle algebras. This allows us to prove a generalization of a conje…