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arXiv · 1703.01864

Higher frieze patterns

Jordan McMahon
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Abstract

Frieze patterns have an interesting combinatorial structure, which has proven very useful in the study of cluster algebras. We introduce $(k,n)$-frieze patterns, a natural generalisation of the classical notion. A generalisation of the bijective correspondence between frieze patterns of width $n$ and clusters of Pl\"ucker coordinates in the cluster structure of the Grassmannian $\mathrm{Gr}(2,n+3)$ is obtained.

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Jordan McMahon. 2017-03-06. Higher frieze patterns. https://arxiv.org/abs/1703.01864

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