杂耍者的中楣

摘要：

本注记将$\mathrm{SL}(k)$ -friezes推广到其中一个边界行被不规则边缘（由杂耍函数描述）所取代的数的配置。我们提供了几个等价的定义/刻画这些杂耍的friezes，在行列式，线性递归，和一个双重杂耍的friezes。我们推广经典的结果，如周期性，对偶性，和参数化的一部分格拉斯曼。我们还提供了一种方法来构建这样的friezes从某些$k \times n$矩阵使用扭曲的矩阵。

英文摘要：

This note generalizes $\mathrm{SL}(k)$-friezes to configurations of numbers in which one of the boundary rows has been replaced by a ragged edge (described by a juggling function). We provide several equivalent definitions/characterizations of these juggler's friezes, in terms of determinants, linear recurrences, and a dual juggler's frieze. We generalize classic results, such as periodicity, duality, and a parametrization by part of a Grassmannian. We also provide a method of constructing such friezes from certain $k \times n$ matrices using the twist of a matrix.

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