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arxiv: 1409.6026 · v1 · pith:6ACCC5F3new · submitted 2014-09-21 · 🧮 math.CO

Non-zero integral friezes

Bruce Fontaine This is my paper
classification 🧮 math.CO
keywords friezesnon-zerointegralpositiveallowingappearcaseconsidering
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We study non-zero integral friezes for Dynkin types $A_n$, $B_n$, $C_n$, $D_n$ and $G_2$. These differ from standard Coxeter-Conway (positive) friezes by allowing any non-zero integer to appear. In each case we show that there are either $1$, $2$ or $4$ times as many non-zero friezes as positive friezes. This is a first step for considering friezes over general rings of integers.

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  1. Frieze patterns in representation theory

    math.RT 2025-09 unverdicted novelty 1.0

    A survey of results linking frieze patterns to polygon triangulations, Grassmannian cluster algebras, and Grassmannian cluster categories, with focus on recent links to cluster categories.