论文标题
Yang-Baxter参与：电缆，可分解性，DeHornoy类
Involutive Yang-Baxter: cabling, decomposability, Dehornoy class
论文作者
论文摘要
我们开发了用于生成Yang-Baxter方程涉及解决方案的可分解性测试的新机械。它基于Rump的精确分解性定理，以及对溶液的“电缆”操作及其对对角线图的影响。我们的机械提供了最新的Camp-More和Sastriques定理以及原始可分解性结果的基本证明。它还提供了DeHornoy类的概念解释（使用牙套语言），DeHornoy类是一种自然出现在Garside理论方法中的组合不变的涉及解决方案。
We develop new machinery for producing decomposability tests for involutive solutions to the Yang-Baxter equation. It is based on the seminal decomposability theorem of Rump, and on "cabling" operations on solutions and their effect on the diagonal map. Our machinery yields an elementary proof of a recent decomposability theorem of Camp-More and Sastriques, as well as original decomposability results. It also provides a conceptual interpretation (using the braces language) of the Dehornoy class, a combinatorial invariant naturally appearing in the Garside-theoretic approach to involutive solutions.
