论文标题
非亚伯置换组的多电压2级的杨巴克斯特方程的不可分解的涉及溶液
Indecomposable involutive solutions of the Yang-Baxter equation of multipermutation level 2 with non-abelian permutation group
论文作者
论文摘要
我们给出了Yang-baxter方程的所有不可分解的涉及解的完整表征。在第一步中，我们介绍了某些解决方案家族的结构，在第二步中，我们证明，Yang-baxter方程的每个不可分解的涉及溶液具有多余水平〜2是先前构建的溶液的同态图像。分析这种表达性，我们能够获得所有这些解决方案，以达到同构，并列举这些溶液的大小。
We give a complete characterization of all indecomposable involutive solutions of the Yang-Baxter equation of multipermutation level~2. In the first step we present a construction of some family of such solutions and in the second step we prove that every indecomposable involutive solution of the Yang-Baxter equation with multipermutation level~2 is a homomorphic image of a solution previously constructed. Analyzing this epimorphism, we are able to obtain all such solutions up to isomorphism and enumerate these of small sizes.
