Cosymplectic Jacobi-Jordan Algebras
Rings and Algebras
2024-05-28 v1 Symplectic Geometry
Abstract
We introduce the notion of cosymplectic structure on Jacobi-Jordan algebras, and we state that they are related to symplectic Jacobi-Jordan algebras. We show, in particular, that they support a right-skew-symmetric product. We also study the double extension constructions of cosymplectic Jacobi-Jordan algebras and give a complete classification in dimension five.
Keywords
Cite
@article{arxiv.2405.15785,
title = {Cosymplectic Jacobi-Jordan Algebras},
author = {S. El bourkadi and M. W. Mansouri},
journal= {arXiv preprint arXiv:2405.15785},
year = {2024}
}
Comments
15 pages