A new family of set-theoretic solutions of the Yang-Baxter equation

被引：16
|
作者：
Castelli, M. [1 ]
Catino, F. [1 ]
Pinto, G. [1 ]
机构：
[1] Univ Salento, Dipartimento Matemat & Fis Ennio De Giorgi, Via Prov Lecce Arnesano, I-73100 Lecce, Italy
来源：
COMMUNICATIONS IN ALGEBRA | 2018年 / 46卷 / 04期
关键词：
Cycle set; set-theoretic solution; Yang-Baxter equation; EXTENSIONS;
D O I：
10.1080/00927872.2017.1350700
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A new family of non-degenerate involutive set-theoretic solutions of the Yang-Baxter equation is constructed. Two subfamilies, consisting of irretractable square-free solutions, are new counterexamples to Gateva-Ivanova's Strong Conjecture [7]. They are in addition to those obtained by Vendramin [15] and [1].
引用
收藏
页码：1622 / 1629
页数：8
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