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

Rings and Algebras 2021-08-12 v2

Abstract

Our purpose in this paper is the generalization of the notions of quadratic and symplectic structures to the case of 3-(Hom)-ρ\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)-ρ\rho-Lie algebras and define their representation.

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Cite

@article{arxiv.2105.03203,
  title  = {Quadratic and symplectic structures on 3-(Hom)-$\rho$-Lie algebras},
  author = {Zahra Bagheri and Esmaeil Peyghan},
  journal= {arXiv preprint arXiv:2105.03203},
  year   = {2021}
}

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24 pages