中文

大小为 $pq$ 的集合上 Yang--Baxter 方程的不可分解集合论解

量子代数 2023-06-06 v2 群论 环与代数

摘要

ppqq 为不同的素数。利用 Ced\'o 与 Okni\'nski 的近期结果,我们描述了基数为 pqpq 的不可分解集合论 Yang--Baxter 解的同构类。

关键词

引用

@article{arxiv.2302.04636,
  title  = {Indecomposable set-theoretical solutions to the Yang--Baxter equation on a set of size $pq$},
  author = {Carsten Dietzel and Raul Sastriques Guardiola},
  journal= {arXiv preprint arXiv:2302.04636},
  year   = {2023}
}

备注

Results are already contained in the paper [Jedli\^cka, Premysl; Pilitowska, Agata; Indecomposable involutive solutions of the Yang-Baxter equation of multipermutation level 2 with non-abelian permutation group. J. Combin. Theory Ser. A 197 (2023), Paper No. 105753, 35 pp.]