Symplectic Forms and the Yang-Baxter Equation in Jacobi-Jordan algebras

被引：0
|
作者：
Assiry, Abdallah [1 ]
机构：
[1] Umm Al Qura Univ, Fac Appl Sci, Dept Math Sci, Mecca, Saudi Arabia
来源：
INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE | 2024年 / 19卷 / 01期
关键词：
Dual mock-Lie algebra; symplectic forms; Yang-Baxter equation;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper's primary objective is to expand the connection be-tween the presence of a symplectic form on a Mock-Lie algebra and the solution of the Yang-Baxter equation (YBE) into the realm of sym-plectic Jacobi-Jordan algebras. The study establishes an equivalence between the existence of an even symplectic form omega on a Mock-Lie algebra and the existence of an r-matrix of J, which is a solution r of the YBE.
引用
收藏
页码：23 / 36
页数：14
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