The $\omega$-Lie algebra defined by the commutator of an $\omega$-left-symmetric algebra is not perfect

Zhiqi Chen, Junna Ni, Jianhua Yu

In this paper, we study admissible $\omega$-left-symmetric algebraic structures on $\omega$-Lie algebras over the complex numbers field $\mathbb{C}$. Based on the classification of $\omega$-Lie al…