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…
Frieze patterns over finite commutative local rings
Bernhard Böhmler, Michael Cuntz
We count numbers of tame frieze patterns with entries in a finite commutative local ring. For the ring , a prime and we obtain closed…