论文标题
Abelian置换组的Yang-Baxter方程的不可分解的参与溶液
Indecomposable involutive solutions of the Yang-Baxter equation of multipermutational level 2 with abelian permutation group
论文作者
论文摘要
我们介绍了Abelian置换组最多最多2的Yang-baxter方程的所有有限不合理的涉及溶液的结构。结果，我们获得了具有固定数量元素的此类解决方案数量的公式。在这种情况下，我们还描述了自动形态群体的一些特性 - 特别是，我们表明它们是普通的阿贝利亚人群。
We present a construction of all finite indecomposable involutive solutions of the Yang-Baxter equation of multipermutational level at most 2 with abelian permutation group. As a consequence, we obtain a formula for the number of such solutions with a fixed number of elements. We also describe some properties of the automorphism groups in this case - in particular, we show they are regular abelian groups.
