Non-commutative friezes and their determinants, the non-commutative Laurent phenomenon for weak friezes, and frieze gluing

authored by

Michael Cuntz, Thorsten Holm, Peter Jørgensen

Abstract

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 determinants, a T-path formula expressing the Laurent phenomenon, and results on gluing friezes together. One of our tools is a non-commutative version of the weak friezes introduced by Canakci and Jorgensen.

Organisation(s)

Institute of Algebra, Number Theory and Discrete Mathematics

External Organisation(s)

Aarhus University

Type

Preprint

No. of pages

26

Publication date

17.10.2024

Publication status

E-pub ahead of print

Electronic version(s)

https://arxiv.org/abs/2410.13507 (Access: Open)
https://doi.org/10.48550/arXiv.2410.13507 (Access: Open)