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

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  • Aarhus University
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OriginalspracheEnglisch
Seitenumfang26
PublikationsstatusElektronisch veröffentlicht (E-Pub) - 17 Okt. 2024

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.

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title = "Non-commutative friezes and their determinants, the non-commutative Laurent phenomenon for weak friezes, and frieze gluing",
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.",
author = "Michael Cuntz and Thorsten Holm and Peter J{\o}rgensen",
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doi = "10.48550/arXiv.2410.13507",
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AU - Jørgensen, Peter

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AB - 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.

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