Solutions of the Yang-Baxter equation associated with a left brace
Solutions of the Yang-Baxter equation associated with a left brace
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与左括号相关的 Yang-Baxter 方程的解
DOI：
10.1016/j.jalgebra.2016.05.024
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发表时间：
2015
期刊：
影响因子：
--
通讯作者：
E. Jespers
中科院分区：
文献类型：
--
作者：
D. Bachiller;F. Cedó;E. Jespers
给定一个左支撑B，给出了一个显式构造Yang-Baxter方程的所有非退化对合集论解(X，r)的方法，使得相应的置换群G(X，r)作为左支撑同构于B。这个方法完全依赖于B的支撑结构。
Given a left brace B, a method is given to construct explicitly all the non-degenerate involutive set-theoretic solutions (X, r) of the Yang–Baxter equation such that the associated permutation group G (X, r) is isomorphic, as a left brace, to B. This method depends entirely on the brace structure of B.