The construction and deformation of BiHom-Novikov algebras

BiHom-Lie Colour algebra is a generalized Hom-Lie Colour algebra endowed with two commuting multiplicative linear maps. The main purpose of this paper is to define representations and a cohomology of BiHom-Lie colour algebras and to study some key constructions and properties. 
Moreover, we discuss $\alpha^{k}\beta^l$-generalized derivations, $\alpha^{k}\beta^l$-quasi-derivations and $\alpha^{k}\beta^l$-quasi-centroid. We provide some properties and their relationships with BiHom-Jordan colour algebra.

BiHom-Lie colour algebras structures

The purpose of this article is to study cohomology and representations of Bihom-Lie superalgebras. In particular, trivial representations and adjoint representations of Bihom-Lie superalgebras are ...

Representations of Bihom-Lie superalgebras

In this paper, we classify flnite dimensional multiplicative simple BiHom-Lie algebras by investigating the corresponding semisimple Lie algebras and we give a complete classification of the complex 3-dimensional multiplicative BiHom-Lie algebras.

Classification of multiplicative simple BiHom-Lie algebras

The purpose of this article 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 al...

The construction of 3-Bihom-Lie algebras

Bihom-Lie algebra is a generalized Hom-Lie algebra endowed with two commuting multiplicative linear maps. In this paper, we study cohomology and representations of Bihom-Lie algebras. In particular, derivations, central extensions, derivation extensions, the trivial representation and the adjoint representation of Bihom-Lie algebras are studied in detail.

Huange Qi

Papers

Representations of Bihom-Lie algebras