论文标题

Yang-Baxter方程的列出理论解决方案的枚举

Enumeration of set-theoretic solutions to the Yang-Baxter equation

论文作者

Akgün, Ö., Mereb, M., Vendramin, L.

论文摘要

我们使用约束满意度方法来枚举并构建针对小尺寸的Yang-Baxter方程的设定理论解决方案。我们表明,有321931个尺寸为9,4895272的涉及解决方案,尺寸为10和422449480尺寸的溶液,尺寸为8的溶液。然后,我们的方法被用来枚举非涉及的双重Quandles。

We use Constraint Satisfaction methods to enumerate and construct set-theoretic solutions to the Yang-Baxter equation of small size. We show that there are 321931 involutive solutions of size nine, 4895272 involutive solutions of size ten and 422449480 non-involutive solution of size eight. Our method is then used to enumerate non-involutive biquandles.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源