A skew brace, as introduced by L. Guarnieri and L. Vendramin, is a set with two group structures interacting in a particular way. When one of the group structures is abelian, one gets back the notion of brace as introduced by W. Rump. Skew braces can be used to construct solutions of the quantum Yang–Baxter equation. In this article, we introduce a notion of action of a skew brace, and show how it leads to solutions of the closely associated reflection equation.

中文翻译：

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斜括号的作用和反射方程的集合论解

由 L. Guarnieri 和 L. Vendramin 介绍的斜撑是一组具有两个以特定方式相互作用的组结构的集合。当其中一个群结构是阿贝尔时，人们会回到 W. Rump 引入的大括号的概念。斜括号可用于构造量子杨-巴克斯特方程的解。在本文中，我们介绍了斜撑的作用概念，并展示了它如何导致密切相关的反射方程的解。