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math.RT2022★ 1 cited
Poisson geometry and Azumaya loci of cluster algebras
Greg Muller, Bach Nguyen, Kurt Trampel +1
There are two main types of objects in the theory of cluster algebras: the upper cluster algebras with their Gekhtman-Shapiro-Vainshtein Poisson brackets…
math.CO2022
Superunitary regions of cluster algebras
Emily Gunawan, Greg Muller
This note introduces the superunitary region of a cluster algebra, the subspace of the totally positive region on which each cluster variable is at least 1. Our main result is that…
math.CO2022
Juggler's friezes
Roi Docampo, Greg Muller
This note generalizes -friezes to configurations of numbers in which one of the boundary rows has been replaced by a ragged edge (described by a juggling function).…