Non-commutative friezes and their determinants, the non-commutative Laurent phenomenon for weak friezes, and frieze gluing
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.
Authors
- Peter Jørgensen (ORCID: https://orcid.org/0000-0001-6058-2952)
- Michael Cuntz (ORCID: https://orcid.org/0000-0003-1016-3383)
- Thorsten Holm (ORCID: https://orcid.org/0000-0003-1840-0304)
Institutions
- Leibniz University Hannover (DE)
- Aarhus University (DK)
Publication Details
- Journal
- Advances in Applied Mathematics
- Published
- 2025-07-24
- DOI
- https://doi.org/10.1016/j.aam.2025.102940
- Primary Topic
- Black Holes and Theoretical Physics
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Danmarks Grundforskningsfond
- Aarhus Universitets Forskningsfond
- Danmarks Frie Forskningsfond
- Danmarks Frie Forskningsfond