Yang-Baxter方程与Thompson群$F$
群论
2024-11-20 v3
摘要
类比于Yang-Baxter方程的非退化对合集合论解与brace，我们定义非退化对合偏集合论解与偏brace。我们定义此类解的结构群与结构逆幺半群，并证明若偏解为无平方的，则其结构逆幺半群嵌入到交换逆幺半群与逆对称幺半群的限制积中。此外，我们证明存在一个无平方、非退化对合偏解，其结构群同构于Thompson群。
引用
@article{arxiv.2105.12445,
title = {The Yang-Baxter equation and Thompson's group $F$},
author = {Fabienne Chouraqui},
journal= {arXiv preprint arXiv:2105.12445},
year = {2024}
}
备注
many figures- added some changes and a correction to theorem 2, changes in its proof also. margin comments are added to point the changes from the previous version