Cosymplectic Jacobi-Jordan Algebras

Published 29 Apr 2024 in math.RA and math.SG | (2405.15785v1)

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.

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