On hom-Lie algebras

Yunhe Sheng, Zhen Xiong

In this paper, first we show that $(\g,[\cdot,\cdot],α)$ is a hom-Lie algebra if and only if $(Λ\g^*,α^*,d)$ is an $({\alpha }^{\ast },{\alpha }^{\ast })$-differential graded commutative algebra. Then, we rev…