The construction of 3-Bihom-Lie algebras

2020/01/05 by Li, Juan, Chen, Liangyun
#FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2001.10348

Abstract

The purpose of this paper is to study the construction of 3-Bihom-Lie algebras. We give some ways of constructing 3-Bihom-Lie algebras from 3-Bihom-Lie algebras and 3-totally Bihom-associative algebras. Furthermore, we introduce T_θ-extensions and T_θ^*-extensions of 3-Bihom-Lie algebras and prove the necessary and sufficient conditions for a 2n-dimensional quadratic 3-Bihom-Lie algebra to be isomorphic to a T_θ^*-extension.

Related

• Constructions and T^∗-Extensions of 3-Bihom-Lie Superalgebras
• Representations, extensions and deformations of n-BiHom-Lie algebras
• (μ, ρ, β)-Extension of 3-Lie algebras
• Product and complex structures on 3-Bihom-Lie algebras
• Classification of multiplicative simple BiHom-Lie algebras