论文标题
杨巴克斯特集的扩展
Extensions of Yang-Baxter sets
论文作者
论文摘要
该论文将编织集的概念及其亲密的相对（Yang -Baxter集）扩展到向量空间的类别，并探索诸如形态和扩展等概念的结构方面。通过这种方式，如果给出的B和C的乘积，我们描述了Yang-Baxter方程的一系列解决方案，如果给出了B和C，则对应于Yang-Baxter方程的两个线性（设定理论）溶液。关键观察之一是这个问题与虚拟纯编织组的关系。
The paper extends the notion of braided set and its close relative - the Yang-Baxter set - to the category of vector spaces and explore structure aspects of such a notion as morphisms and extensions. In this way we describe a family of solutions for the Yang-Baxter equation on the product of B and C if given B and C correspond to two linear (set-theoretic) solutions of the Yang-Baxter equation. One of the key observation is the relation of this question with the virtual pure braid group.
