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math.RA2025
Abstract Cluster Structures
Jan E. Grabowski, Sira Gratz
We describe a framework for encoding cluster combinatorics using categorical methods. We give a definition of an abstract cluster structure, which captures the essence of cluster m…
math.RA2018
Friezes satisfying higher SL-determinants
Karin Baur, Eleonore Faber, Sira Gratz +2
In this article, we construct SL-friezes using Plücker coordinates, making use of the cluster structure on the homogeneous coordinate ring of the Grassmannian of -spaces in…
math.RA2018
Conway-Coxeter friezes and mutation: a survey
Karin Baur, Eleonore Faber, Sira Gratz +2
In this survey article we explain the intricate links between Conway-Coxeter friezes and cluster combinatorics. More precisely, we provide a formula, relying solely on the shape of…