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

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.

24 pages

References in corpus (5)

• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• M2-branes, 3-Lie Algebras and Plucker relations
• On Hom type algebras
• Matrix 3-Lie superalgebras and BRST supersymmetry
• Representations and Deformations of 3-Hom-$\rho$-Lie algebras