47 citations · 158 across the 28 of their papers we have counts for
39 papers
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…
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…
On arrangements of hyperplanes from connected subgraphs
Michael Cuntz, Lukas Kühne
We investigate arrangements of hyperplanes whose normal vectors are given by connected subgraphs of a fixed graph. These include the resonance arrangement and certain ideal subarra…
Grassmannians over rings and subpolygons
Michael Cuntz
We investigate special points on the Grassmannian which correspond to friezes with coefficients in the case of rank two. Using representations of arithmetic matroids we obtain a th…
Higher Braidings of Diagonal Type
Michael Cuntz, Tobias Ohrmann
Heckenberger introduced the Weyl groupoid of a finite-dimensional Nichols algebra of diagonal type. We replace the matrix of its braiding by a higher tensor and present a construct…
Congruence Normality of Simplicial Hyperplane Arrangements via Oriented Matroids
Michael Cuntz, Sophia Elia, Jean-Philippe Labbé
A catalogue of simplicial hyperplane arrangements was first given by Grünbaum in 1971. These arrangements naturally generalize finite Coxeter arrangements and the weak order throug…