4 papers
Non-commutative frieze patterns over quaternion algebras and other normed division rings
Michael Cuntz, Thorsten Holm, Peter Jorgensen
Non-commutative friezes have been introduced by Berenstein and Retakh and studied further by the authors. In this paper we consider non-commutative friezes over normed division rin…
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…
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…
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…