Publication details

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 Çanakçı and Jørgensen.

Details

Organisation(s)
Institute of Algebra, Number Theory and Discrete Mathematics
External Organisation(s)
Aarhus University
Type
Article
Journal
Advances in Applied Mathematics
Volume
171
No. of pages
26
ISSN
0196-8858
Publication date
12.2025
Publication status
Published
Peer reviewed
Yes
ASJC Scopus subject areas
Applied Mathematics
Electronic version(s)
https://doi.org/10.1016/j.aam.2025.102940 (Access: Open )
https://doi.org/10.48550/arXiv.2410.13507 (Access: Open )
PDF
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