Quadratic and symplectic structures on 3-(Hom)-$ρ$-Lie algebras

Published 18 Apr 2021 in math.RA | (2105.03203v2)

Abstract: Our purpose in this paper is the generalization of the notions of quadratic and symplectic structures to the case of 3-(Hom)-$\rho$-Lie algebras. We describe some properties of them by expressing the related lemmas and theorems. Also, we introduce the concept of 3-pre-(Hom)-$\rho$-Lie algebras and define their representation.

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