Cosymplectic Jacobi-Jordan Algebras

M. W. Mansouri; S. El Bourkadi

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Cosymplectic Jacobi-Jordan Algebras

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arxiv 2405.15785 v1 pith:HAGVARED submitted 2024-04-29 math.RA math.SG

S. El bourkadi , M. W. Mansouri This is my paper · ORCID

classification math.RAmath.SG

keywords algebrasjacobi-jordancosymplectictheyclassificationcompleteconstructionsdimension

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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.

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