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arXiv · 2410.13507

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

Michael Cuntz·Thorsten Holm·Peter Jorgensen
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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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Michael Cuntz, Thorsten Holm, Peter Jorgensen. 2024-11-04. Non-commutative friezes and their determinants, the non-commutative Laurent phenomenon for weak friezes, and frieze gluing. https://arxiv.org/abs/2410.13507

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