Symplectic Jacobi-Jordan algebras

被引：12

作者：

Baklouti, Amir ^{[1
]}

Benayadi, Said ^{[2
]}

机构：

[1] Umm Al Qura Univ, Dept Math, Coll Preliminary Year, Makkah Al Mukarramah, Saudi Arabia

[2] Univ Lorraine, Lab IECL, CNRS UMR 7502, UFR MIM, 3 Rue Augustin Frenel,BP 45112, F-57073 Metz 03, France

来源：

LINEAR & MULTILINEAR ALGEBRA | 2021年 / 69卷 / 08期

关键词：

Jacobi-Jordan algebras; Jordan algebras; Skew-symmetric algebras; anti-derivations; symplectic structures; pseudo-euclidean structures; central extensions; generalized semi-direct products; double extensions;

D O I：

10.1080/03081087.2019.1626334

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the structure of symplectic Jacobi-Jordan algebras. In particular, we give inductive descriptions of these algebras by introducing some processes of double extensions and their isometries. This paper also contains several interesting examples.

引用

页码：1557 / 1578

页数：22

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