22 citations · 137 across the 35 of their papers we have counts for
42 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…
Frieze patterns over algebraic numbers
Michael Cuntz, Thorsten Holm, Carlo Pagano
Conway and Coxeter have shown that frieze patterns over positive rational integers are in bijection with triangulations of polygons. An investigation of frieze patterns over other…
Weak friezes and frieze pattern determinants
Thorsten Holm, Peter Jorgensen
Frieze patterns have been introduced by Coxeter in the 1970's and have recently attracted renewed interest due to their close connection with Fomin-Zelevinsky's cluster algebras. F…
Virtual mutations of weighted surface algebras
Thorsten Holm, Andrzej Skowroński, Adam Skowyrski
The finite-dimensional symmetric algebras over an algebraically closed field, based on surface triangulations, motivated by the theory of cluster algebras, have been extensively in…
Subpolygons in Conway-Coxeter frieze patterns
Michael Cuntz, Thorsten Holm
Friezes with coefficients are maps assigning numbers to the edges and diagonals of a regular polygon such that all Ptolemy relations for crossing diagonals are satisfied. Among the…