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math.CO2026
Finite and infinite frieze patterns from p-angulations and a generalization of Weyl groupoids
Michael Cuntz, Thorsten Holm, Peter Jorgensen
A classic result of Conway and Coxeter on frieze patterns has been generalized to a bijection between -angulations of regular polygons and frieze patterns of type . One of…
math.CO2024
Non-commutative friezes and their determinants, the non-commutative Laurent phenomenon for weak friezes, and frieze gluing
Michael Cuntz, Thorsten Holm, Peter Jorgensen
This paper studies a non-commutative generalisation of Coxeter friezes due to Berenstein and Retakh. It generalises several earlier results to this situation: A formula for frieze…
math.CO2024
Noncommutative frieze patterns with coefficients
Michael Cuntz, Thorsten Holm, Peter Jorgensen
Based on Berenstein and Retakh's notion of noncommutative polygons we introduce and study noncommutative frieze patterns. We generalize several notions and fundamental properties f…